Search a number
-
+
131031310293 = 32132234779693
BaseRepresentation
bin111101000001000010…
…0110001111111010101
3110112012210112020101100
41322002010301333111
54121323003412133
6140110035420313
712316035521622
oct1720204617725
9415183466340
10131031310293
115062a838894
122148a154699
13c482755200
1464b0447349
15361d67be13
hex1e82131fd5

131031310293 has 72 divisors (see below), whose sum is σ = 218410013952. Its totient is φ = 75486812544.

The previous prime is 131031310213. The next prime is 131031310309. The reversal of 131031310293 is 392013130131.

131031310293 is a `hidden beast` number, since 1 + 31 + 0 + 31 + 310 + 293 = 666.

It is not a de Polignac number, because 131031310293 - 214 = 131031293909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131031310213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1604355 + ... + 1684047.

It is an arithmetic number, because the mean of its divisors is an integer number (3033472416).

Almost surely, 2131031310293 is an apocalyptic number.

131031310293 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131031310293 is a deficient number, since it is larger than the sum of its proper divisors (87378703659).

131031310293 is a wasteful number, since it uses less digits than its factorization.

131031310293 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79795 (or 79779 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 131031310293 in words is "one hundred thirty-one billion, thirty-one million, three hundred ten thousand, two hundred ninety-three".

Divisors: 1 3 9 13 23 39 47 69 117 141 169 207 299 423 507 611 897 1081 1521 1833 2691 3243 3887 5499 7943 9729 11661 14053 23829 34983 42159 71487 79693 126477 182689 239079 548067 717237 1036009 1644201 1832939 3108027 3745571 5498817 9324081 11236713 13468117 16496451 23828207 33710139 40404351 48692423 71484621 86148133 121213053 146077269 214453863 258444399 309766691 438231807 633001499 775333197 929300073 1119925729 1899004497 2787900219 3359777187 5697013491 10079331561 14559034477 43677103431 131031310293