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131404131 = 32371013907
BaseRepresentation
bin1111101010100…
…01000101100011
3100011021000120200
413311101011203
5232114413011
621012240243
73153626265
oct765210543
9304230520
10131404131
11681a0961
1238010083
13212ba931
1413647b35
15b809856
hex7d51163

131404131 has 24 divisors (see below), whose sum is σ = 196916304. Its totient is φ = 84369600.

The previous prime is 131404121. The next prime is 131404183.

131404131 is a `hidden beast` number, since 131 + 404 + 131 = 666.

131404131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131404131 - 29 = 131403619 is a prime.

It is a super-2 number, since 2×1314041312 = 34534091287730322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131404111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31680 + ... + 35586.

It is an arithmetic number, because the mean of its divisors is an integer number (8204846).

Almost surely, 2131404131 is an apocalyptic number.

131404131 is a deficient number, since it is larger than the sum of its proper divisors (65512173).

131404131 is a wasteful number, since it uses less digits than its factorization.

131404131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 131404131 is about 11463.1640919948. The cubic root of 131404131 is about 508.3970316188.

It can be divided in two parts, 13140 and 4131, that added together give a palindrome (17271).

The spelling of 131404131 in words is "one hundred thirty-one million, four hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 37 101 111 303 333 909 3737 3907 11211 11721 33633 35163 144559 394607 433677 1183821 1301031 3551463 14600459 43801377 131404131