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131042314104039 = 32133826632926909
BaseRepresentation
bin11101110010111010101010…
…100101010010110011100111
3122011222112010011212220201100
4131302322222211102303213
5114133444124402312124
61142412001422331143
736413331463334352
oct3562725245226347
9564875104786640
10131042314104039
1138832808055838
1212844a65a29ab3
135817311175cc0
1424506a6273299
151023aa0a521c9
hex772eaa952ce7

131042314104039 has 24 divisors (see below), whose sum is σ = 203844202059680. Its totient is φ = 80641185774912.

The previous prime is 131042314104007. The next prime is 131042314104043. The reversal of 131042314104039 is 930401413240131.

131042314104039 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 4 + 231 + 4 + 10 + 403 + 9 = 666.

It is not a de Polignac number, because 131042314104039 - 25 = 131042314104007 is a prime.

It is a super-2 number, since 2×1310423141040392 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131042314103994 and 131042314104012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131042314104239) 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, 43308117 + ... + 46235025.

Almost surely, 2131042314104039 is an apocalyptic number.

131042314104039 is a deficient number, since it is larger than the sum of its proper divisors (72801887955641).

131042314104039 is a wasteful number, since it uses less digits than its factorization.

131042314104039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309591 (or 3309588 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131042314104039 in words is "one hundred thirty-one trillion, forty-two billion, three hundred fourteen million, one hundred four thousand, thirty-nine".

Divisors: 1 3 9 13 39 117 382663 1147989 2926909 3443967 4974619 8780727 14923857 26342181 38049817 44771571 114149451 342448353 1120019778667 3360059336001 10080178008003 14560257122671 43680771368013 131042314104039