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131083956 = 22323641221
BaseRepresentation
bin1111101000000…
…10111010110100
3100010122202101100
413310002322310
5232024141311
621001330100
73151123653
oct764027264
9303582340
10131083956
1167aa2353
1237a96930
1321207c93
14135a319a
15b794a56
hex7d02eb4

131083956 has 18 divisors (see below), whose sum is σ = 331351202. Its totient is φ = 43694640.

The previous prime is 131083943. The next prime is 131084039. The reversal of 131083956 is 659380131.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 128459556 + 2624400 = 11334^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3641221 = 131083956 / (1 + 3 + 1 + 0 + 8 + 3 + 9 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 131083956.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1820575 + ... + 1820646.

Almost surely, 2131083956 is an apocalyptic number.

It is an amenable number.

131083956 is an abundant number, since it is smaller than the sum of its proper divisors (200267246).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131083956 is a wasteful number, since it uses less digits than its factorization.

131083956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641231 (or 3641226 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 131083956 is about 11449.1901897034. The cubic root of 131083956 is about 507.9837812831.

The spelling of 131083956 in words is "one hundred thirty-one million, eighty-three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3641221 7282442 10923663 14564884 21847326 32770989 43694652 65541978 131083956