100000000
外觀
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100000000 | ||
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命名 | ||
小寫 | 一億 | |
大寫 | 壹億 | |
序數詞 | 第一億 one hundred millionth | |
識別 | ||
種類 | 整數 | |
性質 | ||
質因數分解 | ||
表示方式 | ||
值 | 100000000 | |
算籌 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
希臘數字 | ||
羅馬數字 | ||
二進制 | 101111101011110000100000000(2) | |
三進制 | 20222011112012201(3) | |
四進制 | 11331132010000(4) | |
五進制 | 201100000000(5) | |
八進制 | 575360400(8) | |
十二進制 | 295A6454(12) | |
十六進制 | 5F5E100(16) | |
100,000,000 (一億)是99,999,999和100,000,001之間的自然數。
用科學記數法寫成 108 。
東亞語言將「億」作為一個計數單位,相當另一個計數單位「萬」的平方。在韓文和日文中分別為 eok ( 억/億) 和oku (億)。
100,000,000是100的四次方,也是10000的平方。
值得注意的 9 位數字 (100,000,001–999,999,999)
[編輯]100,000,001 至 199,999,999
[編輯]- 100,000,007 = 最小的九位質數[1]
- 100,005,153 = 最小的 9 位三角數和第 14,142 個三角數
- 100,020,001 = 100012, 回文平方
- 100,544,625 = 4653 ,最小的9位立方
- 102,030,201 = 101012,回文平方
- 102,334,155 = 斐波那契數
- 102,400,000 = 405
- 104,060,401 = 102012 = 1014 ,回文平方
- 105,413,504 = 147
- 107,890,609 = 韋德伯恩-埃瑟林頓數[2]
- 111,111,111 = 循環單位, 12345678987654321 的平方根
- 111,111,113 = 陳質數、蘇菲傑曼質數、表弟質數。
- 113,379,904 = 106482 = 4843 = 226
- 115,856,201 = 415
- 119,481,296 = 對數[3]
- 121,242,121 = 110112, 回文平方
- 123,454,321 = 111112, 回文平方
- 123,456,789 = 最小無零基 10 泛數字
- 125,686,521 = 112112, 回文平方
- 126,390,032 = 補數相等的 34 珠項鍊數量(允許翻轉) [4]
- 126,491,971 = 萊昂納多質數
- 129,140,163 = 317
- 129,145,076 = 利蘭數
- 129,644,790 = 加泰羅尼亞號碼[5]
- 130,150,588 = 33 珠二元項鍊的數量,有 2 種顏色的珠子,顏色可以互換,但不允許翻轉[6]
- 130,691,232 = 425
- 134,217,728 = 5123 = 89 = 227
- 134,218,457 = 利蘭數
- 136,048,896 = 116642 = 1084
- 139,854,276 = 118262 ,最小無零底數 10 泛數字平方
- 142,547,559 = 莫茨金數[7]
- 147,008,443 = 435
- 148,035,889 = 121672 = 5293 = 236
- 157,115,917 – 24 個單元的平行四邊形多格骨牌的數量。 [8]
- 157,351,936 = 125442 = 1124
- 164,916,224 = 445
- 165,580,141 = 斐波那契數
- 167,444,795 = 6 進制下的循環數
- 170,859,375 = 157
- 171,794,492 = 具有 36 個節點的縮減樹的數量[9]
- 177,264,449 = 利蘭數
- 179,424,673 = 第 10,000,000 個質數
- 184,528,125 = 455
- 188,378,402 = 劃分{1,2,...,11}然後將每個單元(塊)劃分為子單元的方式數。 [10]
- 190,899,322 = 貝爾數[11]
- 191,102,976 = 138242 = 5763 = 246
- 192,622,052 = 自由 18 格骨牌的數量
- 199,960,004 = 邊長為 9999 的四面體的表面點數[12]
200,000,000 至 299,999,999
[編輯]- 200,000,002 = 邊長為 10000 的四面體的表面點數[12]
- 205,962,976 = 465
- 210,295,326 = Fine's number
- 211,016,256 = GF(2) 上的 33 次本原多項式的數量[13]
- 212,890,625 = 1-自守數[14]
- 214,358,881 = 146412 = 1214 = 118
- 222,222,222 = 純位數
- 222,222,227 = 安全質數
- 223,092,870 = 前九個質數的乘積,即第九個質數
- 225,058,681 = 佩爾數[15]
- 225,331,713 = 以 9 為基數的自描述數字
- 229,345,007 = 475
- 232,792,560 = 高級高合數; [16]可羅薩里過剩數; [17]可被 1 到 22 所有數字整除的最小數字
- 244,140,625 = 156252 = 1253 = 256 = 512
- 244,389,457 = 利蘭數
- 244,330,711 = n 使得 n | (3n + 5)
- 245,492,244 = 補數相等的 35 珠項鍊數量(允許翻轉) [4]
- 252,648,992 = 34 珠二元項鍊的數量,有 2 種顏色的珠子,顏色可以互換,但不允許翻轉[6]
- 253,450,711 = 韋德伯恩-埃瑟林頓質數[2]
- 254,803,968 = 485
- 267,914,296 = 斐波那契數
- 268,435,456 = 163842 = 1284 = 167 = 414 = 228
- 268,436,240 = 利蘭數
- 268,473,872 = 利蘭數
- 272,400,600 = 通過 20 所需的調和級數的項數
- 275,305,224 = 5 階幻方的數量,不包括旋轉和反射
- 282,475,249 = 168072 = 495 = 710
- 292,475,249 = 利蘭數
300,000,000 至 399,999,999
[編輯]- 308,915,776 = 175762 = 6763 = 266
- 312,500,000 = 505
- 321,534,781 = 馬可夫質數
- 331,160,281 = 萊昂納多質數
- 333,333,333 = 純位數
- 336,849,900 = GF(2) 上的 34 次本原多項式的數量[13]
- 345,025,251 = 515
- 350,238,175 = 具有 37 個節點的縮減樹的數量[9]
- 362,802,072 = 25 個單元的平行四邊形多格骨牌數量[8]
- 364,568,617 = 利蘭數
- 365,496,202 = n 使得 n | (3n + 5)
- 367,567,200 = 可羅薩里過剩數,Superior highly composite number
- 380,204,032 = 525
- 381,654,729 = 唯一累進可除數,同時也是無零泛泛位數
- 387,420,489 = 196832 = 7293 = 276 = 99 = 318,迭代冪次表示為 29
- 387,426,321 = 利蘭數
400,000,000 至 499,999,999
[編輯]- 400,080,004 = 200022, 回文平方
- 400,763,223 = 莫茨金數[7]
- 404,090,404 = 201022, 回文平方
- 405,071,317 = 11 + 22 + 33 + 44 + 55 + 66 + 77 + 88 + 99
- 410,338,673 = 177
- 418,195,493 = 535
- 429,981,696 = 207362 = 1444 = 128 = 100,000,000 12又名gross-great-great-gross (100 12 Great-great-grosses)
- 433,494,437 = 斐波那契質數、馬可夫質數
- 442,386,619 = 交替階乘[18]
- 444,101,658 = 具有 27 個節點的(無序、無標籤)有根修剪樹的數量[19]
- 444,444,444 = 純位數
- 455,052,511 = 10以下的質數個數10
- 459,165,024 = 545
- 467,871,369 = 14 個頂點上的無三角形圖的數量[20]
- 477,353,376 = 補數相等的 36 珠項鍊數量(允許翻轉) [4]
- 477,638,700 = 加泰羅尼亞號碼[5]
- 479,001,599 = 階乘質數[21]
- 479,001,600 = 12!
- 481,890,304 = 219522 = 7843 = 286
- 490,853,416 = 35 珠二元項鍊的數量,有 2 種顏色的珠子,顏色可以交換,但不允許翻轉[6]
- 499,999,751 = 蘇菲·傑曼質數
500,000,000 至 599,999,999
[編輯]- 503,284,375 = 555
- 522,808,225 = 228652, 回文平方
- 535,828,591 = 萊昂納多質數
- 536,870,911 = 第三個具有質數指數的複合梅森數
- 536,870,912 = 229
- 536,871,753 = 利蘭數
- 542,474,231 = k 使得前 k 個質數的平方和可被 k 整除。 [22]
- 543,339,720 = 佩爾號[15]
- 550,731,776 = 565
- 554,999,445 = 以 10 為基數表示數字長度 9 的Kaprekar 常數
- 555,555,555 = 純位數
- 574,304,985 = 19 + 29 + 39 + 49 + 59 + 69 + 79 + 89 + 99 [23]
- 575,023,344 = xx 在 x=1 處的 14 階導數[24]
- 594,823,321 = 243892 = 8413 = 296
- 596,572,387 = 韋德本-埃瑟林頓質數[2]
600,000,000 至 699,999,999
[編輯]- 601,692,057 = 575
- 612,220,032 = 187
- 617,323,716 = 248462, 回文平方
- 635,318,657 = 歐拉知道的兩個四次方以兩種不同方式相加的最小數 ( 594 + 1584 = 1334 + 1344 )。
- 644,972,544 = 8643, 3-平滑數
- 656,356,768 = 585
- 666,666,666 = 純位數
- 670,617,279 = Collatz 猜想的 109以下的最高停止時間整數
700,000,000 至 799,999,999
[編輯]- 701,408,733 = 斐波那契數
- 714,924,299 = 595
- 715,497,037 = 具有 38 個節點的縮減樹的數量[9]
- 715,827,883 =瓦格斯塔夫質數, [25]雅各布斯塔爾質數
- 725,594,112 = GF(2) 上的 36 次本原多項式的數量[13]
- 729,000,000 = 270002 = 9003 = 306
- 742,624,232 = 免費 19 聯骨牌數量
- 774,840,978 = 利蘭數
- 777,600,000 = 605
- 777,777,777 = 純位數
- 778,483,932 = Fine Number
- 780,291,637 = 馬可夫質數
- 787,109,376 = 1-自守數[14]
800,000,000 至 899,999,999
[編輯]- 815,730,721 = 138
- 815,730,721 = 1694
- 835,210,000 = 1704
- 837,759,792 = 26 個單元的平行四邊形多骨牌數量。 [8]
- 844,596,301 = 615
- 855,036,081 = 1714
- 875,213,056 = 1724
- 887,503,681 = 316
- 888,888,888 = 純位數
- 893,554,688 = 2-自守數[26]
- 893,871,739 = 197
- 895,745,041 = 1734
900,000,000 至 999,999,999
[編輯]- 906,150,257 = 波利亞猜想的最小反例
- 916,132,832 = 625
- 923,187,456 = 303842 ,最大的無零泛數字平方
- 928,772,650 = 補數相等的 37 珠項鍊數量(允許翻轉) [4]
- 929,275,200 = GF(2) 上的 35 次本原多項式的數量[13]
- 942,060,249 = 306932,回文平方
- 987,654,321 = 最大的無零泛數字
- 992,436,543 = 635
- 997,002,999 = 9993 ,最大的9位立方
- 999,950,884 = 316222 ,最大的九位數平方
- 999,961,560 = 最大的 9 位數三角數和第 44,720 個三角數
- 999,999,937 = 最大的 9 位質數
- 999,999,999 = 純位數
參考
[編輯]- ^ Sloane, N.J.A. (編). Sequence A003617 (Smallest n-digit prime). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [7 September 2017].
- ^ 2.0 2.1 2.2 Sloane, N.J.A. (編). Sequence A001190 (Wedderburn-Etherington numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17].Sloane, N. J. A. (ed.). "Sequence A001190 (Wedderburn-Etherington numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
- ^ Sloane, N.J.A. (編). Sequence A002104 (Logarithmic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 4.0 4.1 4.2 4.3 Sloane, N.J.A. (編). Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 5.0 5.1 Sloane, N.J.A. (編). Sequence A000108 (Catalan numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17].Sloane, N. J. A. (ed.). "Sequence A000108 (Catalan numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
- ^ 6.0 6.1 6.2 Sloane, N.J.A. (編). Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 7.0 7.1 Sloane, N.J.A. (編). Sequence A001006 (Motzkin numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17].Sloane, N. J. A. (ed.). "Sequence A001006 (Motzkin numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
- ^ 8.0 8.1 8.2 Sloane, N.J.A. (編). Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 9.0 9.1 9.2 Sloane, N.J.A. (編). Sequence A000014 (Number of series-reduced trees with n nodes). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N.J.A. (編). Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane's A000110 : Bell or exponential numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2019-08-30).
- ^ 12.0 12.1 Sloane, N.J.A. (編). Sequence A005893 (Number of points on surface of tetrahedron). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 13.0 13.1 13.2 13.3 Sloane, N.J.A. (編). Sequence A011260 (Number of primitive polynomials of degree n over GF(2)). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ 14.0 14.1 Sloane, N.J.A. (編). Sequence A003226 (Automorphic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.Sloane, N. J. A. (ed.). "Sequence A003226 (Automorphic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2019-04-06.
- ^ 15.0 15.1 Sloane, N.J.A. (編). Sequence A000129 (Pell numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17].Sloane, N. J. A. (ed.). "Sequence A000129 (Pell numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-17.
- ^ Sloane's A002201 : Superior highly composite numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2010-12-29).
- ^ Sloane's A004490 : Colossally abundant numbers. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2012-05-25).
- ^ Sloane's A005165 : Alternating factorials. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2012-10-09).
- ^ Sloane, N.J.A. (編). Sequence A002955 (Number of (unordered, unlabeled) rooted trimmed trees with n nodes). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N.J.A. (編). Sequence A006785 (Number of triangle-free graphs on n vertices). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane's A088054 : Factorial primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2020-10-03).
- ^ Sloane, N.J.A. (編). Sequence A111441 (Numbers k such that the sum of the squares of the first k primes is divisible by k). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2022-06-02].
- ^ Sloane, N.J.A. (編). Sequence A031971. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N.J.A. (編). Sequence A005727. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane's A000979 : Wagstaff primes. The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2016-06-17]. (原始內容存檔於2010-11-25).
- ^ Sloane, N.J.A. (編). Sequence A030984 (2-automorphic numbers). The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. [2021-09-01].
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