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31040204013 = 32713112333749
BaseRepresentation
bin11100111010001000…
…111110110011101101
32222010020121202000200
4130322020332303231
51002032243012023
622132031144113
72146130244420
oct347210766355
988106552020
1031040204013
1112189427775
126023375039
132c08a3a930
14170665d9b7
15c1a0ec743
hex73a23eced

31040204013 has 48 divisors (see below), whose sum is σ = 55233360000. Its totient is φ = 16357790592.

The previous prime is 31040204011. The next prime is 31040204057.

31040204013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31040204013 - 21 = 31040204011 is a prime.

It is a super-2 number, since 2×310402040132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31040204011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 902863 + ... + 936611.

It is an arithmetic number, because the mean of its divisors is an integer number (1150695000).

Almost surely, 231040204013 is an apocalyptic number.

It is an amenable number.

31040204013 is a deficient number, since it is larger than the sum of its proper divisors (24193155987).

31040204013 is a wasteful number, since it uses less digits than its factorization.

31040204013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34898 (or 34895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 31040204013 in words is "thirty-one billion, forty million, two hundred four thousand, thirteen".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1123 3369 7861 10107 14599 23583 33749 43797 70749 101247 102193 131391 236243 303741 306579 438737 708729 919737 1316211 2126187 3071159 3948633 9213477 27640431 37900127 113700381 265300889 341101143 492701651 795902667 1478104953 2387708001 3448911557 4434314859 10346734671 31040204013