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131478874131 = 31110139447607
BaseRepresentation
bin111101001110011000…
…0000110100000010011
3110120100222200211112210
41322130300012200103
54123232042433011
6140222304323203
712333111663513
oct1723460064023
9416328624483
10131478874131
115083a440160
1221594013503
13c5243ab097
146513a6d843
153647ad86a6
hex1e9cc06813

131478874131 has 16 divisors (see below), whose sum is σ = 193135488768. Its totient is φ = 78895212000.

The previous prime is 131478874103. The next prime is 131478874133.

It is a happy number.

131478874131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131478874131 - 214 = 131478857747 is a prime.

It is a super-2 number, since 2×1314788741312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131478874133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19720471 + ... + 19727136.

It is an arithmetic number, because the mean of its divisors is an integer number (12070968048).

Almost surely, 2131478874131 is an apocalyptic number.

131478874131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131478874131 is a deficient number, since it is larger than the sum of its proper divisors (61656614637).

131478874131 is a wasteful number, since it uses less digits than its factorization.

131478874131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39447722.

The product of its digits is 451584, while the sum is 48.

The spelling of 131478874131 in words is "one hundred thirty-one billion, four hundred seventy-eight million, eight hundred seventy-four thousand, one hundred thirty-one".

Divisors: 1 3 11 33 101 303 1111 3333 39447607 118342821 433923677 1301771031 3984208307 11952624921 43826291377 131478874131