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1312012102131 = 32167937931621
BaseRepresentation
bin10011000101111010000…
…000111110100111110011
311122102112101020110120200
4103011322000332213303
5132444000044232011
62442421404410243
7163534611601323
oct23057200764763
94572471213520
101312012102131
1146646a69a325
1219233a246983
1396950908593
1447704a37283
15241dd786856
hex1317a03e9f3

1312012102131 has 24 divisors (see below), whose sum is σ = 1908513376224. Its totient is φ = 868508334720.

The previous prime is 1312012102117. The next prime is 1312012102151.

1312012102131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1312012102131 - 222 = 1312007907827 is a prime.

It is a super-2 number, since 2×13120121021312 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312012102111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 942501 + ... + 1874121.

It is an arithmetic number, because the mean of its divisors is an integer number (79521390676).

Almost surely, 21312012102131 is an apocalyptic number.

1312012102131 is a deficient number, since it is larger than the sum of its proper divisors (596501274093).

1312012102131 is a wasteful number, since it uses less digits than its factorization.

1312012102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932731 (or 932728 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The spelling of 1312012102131 in words is "one trillion, three hundred twelve billion, twelve million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 167 501 937 1503 2811 8433 156479 469437 931621 1408311 2794863 8384589 155580707 466742121 872928877 1400226363 2618786631 7856359893 145779122459 437337367377 1312012102131