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204100201121102 = 2112132231471147503
BaseRepresentation
bin101110011010000011000111…
…111111001000010101001110
3222202122210021221102010000222
4232122003013333020111032
5203222434202441333402
62002030201001151342
760663516151643216
oct5632030777102516
9882583257363028
10204100201121102
115a03a455719300
121aa83ba048b552
1389b6749454700
1438587069b9246
15188e1abc607a2
hexb9a0c7fc854e

204100201121102 has 144 divisors (see below), whose sum is σ = 380493143138304. Its totient is φ = 81856883908800.

The previous prime is 204100201121051. The next prime is 204100201121107. The reversal of 204100201121102 is 201121102001402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204100201121107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1383628283 + ... + 1383775785.

It is an arithmetic number, because the mean of its divisors is an integer number (2642313494016).

Almost surely, 2204100201121102 is an apocalyptic number.

204100201121102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

204100201121102 is a deficient number, since it is larger than the sum of its proper divisors (176392942017202).

204100201121102 is a wasteful number, since it uses less digits than its factorization.

204100201121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149047 (or 149023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 204100201121102 its reverse (201121102001402), we get a palindrome (405221303122504).

The spelling of 204100201121102 in words is "two hundred four trillion, one hundred billion, two hundred one million, one hundred twenty-one thousand, one hundred two".

Divisors: 1 2 11 13 22 23 26 46 121 143 169 242 253 286 299 338 506 598 1471 1573 1859 2783 2942 3146 3289 3718 3887 5566 6578 7774 16181 19123 20449 32362 33833 36179 38246 40898 42757 67666 72358 85514 147503 177991 210353 248599 295006 355982 372163 420706 439829 470327 497198 744326 879658 940654 1622533 1917539 2313883 2734589 3245066 3392569 3835078 4093793 4627766 4838119 5469178 5717777 6785138 8187586 9676238 11435554 17847863 21092929 24928007 30080479 35695726 37318259 42185858 44103397 49856014 53219309 60160958 62895547 74636518 88206794 106438618 125791094 216976913 232022219 274208077 410500849 433953826 464044438 485137367 548416154 573344161 691851017 821001698 970274734 1146688322 1383702034 2386746043 2820699869 3016288847 4773492086 4990468999 5336511037 5641399738 6032577694 6306785771 9980937998 10673022074 12613571542 26254206473 31027698559 36669098297 52508412946 54895158989 62055397118 64876096987 69374643481 73338196594 109790317978 129752193974 138749286962 341304684149 403360081267 603846748879 682609368298 713637066857 806720162534 843389260831 1207693497758 1427274133714 1686778521662 4436960893937 7850007735427 8873921787874 9277281869141 15700015470854 18554563738282 102050100560551 204100201121102