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131413414 = 21159137739
BaseRepresentation
bin1111101010100…
…11010110100110
3100011021111022111
413311103112212
5232120212124
621012351234
73153665326
oct765232646
9304244274
10131413414
11681a7930
123801551a
13212c1c22
141364b286
15b80c494
hex7d535a6

131413414 has 32 divisors (see below), whose sum is σ = 220579200. Its totient is φ = 58213440.

The previous prime is 131413391. The next prime is 131413439. The reversal of 131413414 is 414314131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177457 + ... + 178195.

It is an arithmetic number, because the mean of its divisors is an integer number (6893100).

Almost surely, 2131413414 is an apocalyptic number.

131413414 is a deficient number, since it is larger than the sum of its proper divisors (89165786).

131413414 is a wasteful number, since it uses less digits than its factorization.

131413414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948.

The product of its digits is 576, while the sum is 22.

The square root of 131413414 is about 11463.5689905020. The cubic root of 131413414 is about 508.4090031819.

Adding to 131413414 its reverse (414314131), we get a palindrome (545727545).

The spelling of 131413414 in words is "one hundred thirty-one million, four hundred thirteen thousand, four hundred fourteen".

Divisors: 1 2 11 22 59 118 137 274 649 739 1298 1478 1507 3014 8083 8129 16166 16258 43601 87202 88913 101243 177826 202486 479611 959222 1113673 2227346 5973337 11946674 65706707 131413414