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31312111000113 = 33411031272162339
BaseRepresentation
bin1110001111010011010110…
…10000001101101000110001
311002212102000212000202121000
413013221223100031220301
513101004200404000423
6150332330223352213
76411140205023046
oct707515320155061
9132772025022530
1031312111000113
119a82434399949
1236185b6752669
131461947693838
147a372b1a91cd
15394777098843
hex1c7a6b40da31

31312111000113 has 64 divisors (see below), whose sum is σ = 48358917734400. Its totient is φ = 20009064942720.

The previous prime is 31312111000099. The next prime is 31312111000139. The reversal of 31312111000113 is 31100011121313.

It is not a de Polignac number, because 31312111000113 - 217 = 31312110869041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31312111000193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13399498 + ... + 15561836.

It is an arithmetic number, because the mean of its divisors is an integer number (755608089600).

Almost surely, 231312111000113 is an apocalyptic number.

It is an amenable number.

31312111000113 is a deficient number, since it is larger than the sum of its proper divisors (17046806734287).

31312111000113 is a wasteful number, since it uses less digits than its factorization.

31312111000113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162619 (or 2162613 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31312111000113 its reverse (31100011121313), we get a palindrome (62412122121426).

The spelling of 31312111000113 in words is "thirty-one trillion, three hundred twelve billion, one hundred eleven million, one hundred thirteen", and thus it is an aban number.

Divisors: 1 3 9 27 41 103 123 127 309 369 381 927 1107 1143 2781 3429 4223 5207 12669 13081 15621 38007 39243 46863 114021 117729 140589 353187 536321 1608963 2162339 4826889 6487017 14480667 19461051 58383153 88655899 222720917 265967697 274617053 668162751 797903091 823851159 2004488253 2393709273 2471553477 6013464759 7414660431 9131557597 11259299173 27394672791 28285556459 33777897519 82184018373 84856669377 101333692557 246552055119 254570008131 304001077671 763710024393 1159707814819 3479123444457 10437370333371 31312111000113