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131365429 = 1337535153
BaseRepresentation
bin1111101010001…
…11101000110101
3100011012001111021
413311013220311
5232112143204
621011341141
73153405406
oct765075065
9304161437
10131365429
1168174878
1237bb17b1
13212a6130
14136379ad
15b7ed154
hex7d47a35

131365429 has 16 divisors (see below), whose sum is σ = 148064112. Its totient is φ = 115734528.

The previous prime is 131365417. The next prime is 131365433. The reversal of 131365429 is 924563131.

It can be written as a sum of positive squares in 8 ways, for example, as 5880625 + 125484804 = 2425^2 + 11202^2 .

It is not a de Polignac number, because 131365429 - 217 = 131234357 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131365394 and 131365403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131365439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22917 + ... + 28069.

It is an arithmetic number, because the mean of its divisors is an integer number (9254007).

Almost surely, 2131365429 is an apocalyptic number.

It is an amenable number.

131365429 is a deficient number, since it is larger than the sum of its proper divisors (16698683).

131365429 is a wasteful number, since it uses less digits than its factorization.

131365429 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5256.

The product of its digits is 19440, while the sum is 34.

The square root of 131365429 is about 11461.4758648265. The cubic root of 131365429 is about 508.3471145835.

The spelling of 131365429 in words is "one hundred thirty-one million, three hundred sixty-five thousand, four hundred twenty-nine".

Divisors: 1 13 37 53 481 689 1961 5153 25493 66989 190661 273109 2478593 3550417 10105033 131365429