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131211112131 = 32111325364769
BaseRepresentation
bin111101000110011001…
…0101010111011000011
3110112200022212010010200
41322030302222323003
54122210021042011
6140135541300243
712323351023341
oct1721462527303
9415608763120
10131211112131
1150712285650
122151a404683
13c4b0a89b28
1464ca28c991
15362e346856
hex1e8ccaaec3

131211112131 has 12 divisors (see below), whose sum is σ = 206756904120. Its totient is φ = 79521886080.

The previous prime is 131211112129. The next prime is 131211112147.

131211112131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131211112131 - 21 = 131211112129 is a prime.

It is a super-2 number, since 2×1312111121312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131211112231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 662682286 + ... + 662682483.

It is an arithmetic number, because the mean of its divisors is an integer number (17229742010).

Almost surely, 2131211112131 is an apocalyptic number.

131211112131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131211112131 is a deficient number, since it is larger than the sum of its proper divisors (75545791989).

131211112131 is a wasteful number, since it uses less digits than its factorization.

131211112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1325364786 (or 1325364783 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

It can be divided in two parts, 131211 and 112131, that added together give a palindrome (243342).

The spelling of 131211112131 in words is "one hundred thirty-one billion, two hundred eleven million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 99 1325364769 3976094307 11928282921 14579012459 43737037377 131211112131