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131413631 = 1272334441
BaseRepresentation
bin1111101010100…
…11011001111111
3100011021111121112
413311103121333
5232120214011
621012352235
73153666056
oct765233177
9304244545
10131413631
11681a8008
123801567b
13212c205b
141364b39d
15b80c58b
hex7d5367f

131413631 has 8 divisors (see below), whose sum is σ = 133046784. Its totient is φ = 129790080.

The previous prime is 131413613. The next prime is 131413637. The reversal of 131413631 is 136314131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131413631 - 214 = 131397247 is a prime.

It is a super-2 number, since 2×1314136312 = 34539084825208322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131413597 and 131413606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27371 + ... + 31811.

It is an arithmetic number, because the mean of its divisors is an integer number (16630848).

Almost surely, 2131413631 is an apocalyptic number.

131413631 is a deficient number, since it is larger than the sum of its proper divisors (1633153).

131413631 is a wasteful number, since it uses less digits than its factorization.

131413631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4801.

The product of its digits is 648, while the sum is 23.

The square root of 131413631 is about 11463.5784552643. The cubic root of 131413631 is about 508.4092830231.

Adding to 131413631 its reverse (136314131), we get a palindrome (267727762).

The spelling of 131413631 in words is "one hundred thirty-one million, four hundred thirteen thousand, six hundred thirty-one".

Divisors: 1 127 233 4441 29591 564007 1034753 131413631