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131427813 = 3117389613
BaseRepresentation
bin1111101010101…
…10110111100101
3100011022020001210
413311112313211
5232121142223
621012542033
73154055316
oct765266745
9304266053
10131427813
1168207730
1238021919
13212c864a
141365260d
15b811893
hex7d56de5

131427813 has 32 divisors (see below), whose sum is σ = 196283520. Its totient is φ = 77552640.

The previous prime is 131427809. The next prime is 131427841. The reversal of 131427813 is 318724131.

It is not a de Polignac number, because 131427813 - 22 = 131427809 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131427893) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214095 + ... + 214707.

It is an arithmetic number, because the mean of its divisors is an integer number (6133860).

Almost surely, 2131427813 is an apocalyptic number.

It is an amenable number.

131427813 is a deficient number, since it is larger than the sum of its proper divisors (64855707).

131427813 is a wasteful number, since it uses less digits than its factorization.

131427813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789.

The product of its digits is 4032, while the sum is 30.

The square root of 131427813 is about 11464.1970063324. The cubic root of 131427813 is about 508.4275713368.

The spelling of 131427813 in words is "one hundred thirty-one million, four hundred twenty-seven thousand, eight hundred thirteen".

Divisors: 1 3 11 33 73 89 219 267 613 803 979 1839 2409 2937 6497 6743 19491 20229 44749 54557 71467 134247 163671 214401 492239 600127 1476717 1800381 3982661 11947983 43809271 131427813