Search a number
-
+
131141324013129 = 32234115452023567
BaseRepresentation
bin11101110100010110111000…
…000010000111111001001001
3122012022222200100111102120100
4131310112320002013321021
5114142104412421410004
61142525254220320013
736423435155562423
oct3564267002077111
9565288610442510
10131141324013129
11388707a5615991
12128600980a3009
13582375c807921
1424553b9a05813
151026447db6739
hex7745b8087e49

131141324013129 has 24 divisors (see below), whose sum is σ = 202483316835072. Its totient is φ = 81586684428480.

The previous prime is 131141324013101. The next prime is 131141324013233. The reversal of 131141324013129 is 921310423141131.

131141324013129 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 1 + 324 + 0 + 1 + 312 + 9 = 666.

It is not a de Polignac number, because 131141324013129 - 211 = 131141324011081 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131141324013093 and 131141324013102.

It is not an unprimeable number, because it can be changed into a prime (131141324013629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7726003297 + ... + 7726020270.

It is an arithmetic number, because the mean of its divisors is an integer number (8436804868128).

Almost surely, 2131141324013129 is an apocalyptic number.

It is an amenable number.

131141324013129 is a deficient number, since it is larger than the sum of its proper divisors (71341992821943).

131141324013129 is a wasteful number, since it uses less digits than its factorization.

131141324013129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15452023637 (or 15452023634 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131141324013129 in words is "one hundred thirty-one trillion, one hundred forty-one billion, three hundred twenty-four million, thirteen thousand, one hundred twenty-nine".

Divisors: 1 3 9 23 41 69 123 207 369 943 2829 8487 15452023567 46356070701 139068212103 355396542041 633532966247 1066189626123 1900598898741 3198568878369 5701796696223 14571258223681 43713774671043 131141324013129