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31131213113 = 71121310132791
BaseRepresentation
bin11100111111100100…
…001001110100111001
32222100120212111001002
4130333210021310321
51002224042304423
622145041534345
72151313642160
oct347744116471
988316774032
1031131213113
1112225838200
1260499443b5
132c21853c80
1417147903d7
15c230c8228
hex73f909d39

31131213113 has 48 divisors (see below), whose sum is σ = 42171886848. Its totient is φ = 22361961600.

The previous prime is 31131213109. The next prime is 31131213149.

31131213113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31131213113 - 22 = 31131213109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31131213313) 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, 11152748 + ... + 11155538.

It is an arithmetic number, because the mean of its divisors is an integer number (878580976).

Almost surely, 231131213113 is an apocalyptic number.

It is an amenable number.

31131213113 is a deficient number, since it is larger than the sum of its proper divisors (11040673735).

31131213113 is a wasteful number, since it uses less digits than its factorization.

31131213113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3835 counting only the distinct ones).

The product of its digits is 162, while the sum is 20.

The spelling of 31131213113 in words is "thirty-one billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred thirteen".

Divisors: 1 7 11 13 77 91 121 143 847 1001 1013 1573 2791 7091 11011 11143 13169 19537 30701 36283 78001 92183 122573 144859 214907 253981 337711 399113 858011 1014013 1593449 2363977 2793791 2827283 4390243 11154143 19790981 30731701 31100113 36754679 217700791 257282753 342101243 404301469 2394708701 2830110283 4447316159 31131213113