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31214000121304 = 237111321118473233
BaseRepresentation
bin1110001100011100100110…
…11000111010010111011000
311002112000210100002201102211
413012032103120322113120
513042402233012340204
6150215302543004504
76401065010224360
oct706162330722730
9132460710081384
1031214000121304
119a44868359530
123601595599734
1314556103790b0
1479caa0dbd9a0
15391e33b1d804
hex1c639363a5d8

31214000121304 has 128 divisors (see below), whose sum is σ = 78953124257280. Its totient is φ = 11172610713600.

The previous prime is 31214000121277. The next prime is 31214000121307. The reversal of 31214000121304 is 40312100041213.

It is a super-2 number, since 2×312140001213042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31214000121307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7546929 + ... + 10926304.

It is an arithmetic number, because the mean of its divisors is an integer number (616821283260).

Almost surely, 231214000121304 is an apocalyptic number.

It is an amenable number.

31214000121304 is an abundant number, since it is smaller than the sum of its proper divisors (47739124135976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31214000121304 is a wasteful number, since it uses less digits than its factorization.

31214000121304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18473481 (or 18473477 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 31214000121304 its reverse (40312100041213), we get a palindrome (71526100162517).

The spelling of 31214000121304 in words is "thirty-one trillion, two hundred fourteen billion, one hundred twenty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 211 286 308 364 422 572 616 728 844 1001 1144 1477 1688 2002 2321 2743 2954 4004 4642 5486 5908 8008 9284 10972 11816 16247 18568 19201 21944 30173 32494 38402 60346 64988 76804 120692 129976 153608 211211 241384 422422 844844 1689688 18473233 36946466 73892932 129312631 147785864 203205563 240152029 258625262 406411126 480304058 517250524 812822252 960608116 1034501048 1422438941 1625644504 1681064203 1921216232 2641672319 2844877882 3362128406 3897852163 5283344638 5689755764 6724256812 7795704326 10566689276 11379511528 13448513624 15591408652 18491706233 21133378552 27284965141 31182817304 36983412466 42876373793 50672078119 54569930282 73966824932 85752747586 101344156238 109139860564 147933649864 171505495172 202688312476 218279721128 300134616551 343010990344 354704546833 405376624952 557392859309 600269233102 709409093666 1114785718618 1200538466204 1418818187332 2229571437236 2401076932408 2837636374664 3901750015163 4459142874472 7803500030326 15607000060652 31214000121304