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131416957 = 7149163773
BaseRepresentation
bin1111101010101…
…00001101111101
3100011021200011201
413311110031331
5232120320312
621012415501
73154011550
oct765241575
9304250151
10131416957
11681aa561
1238017591
13212c3719
141364c697
15b80d557
hex7d5437d

131416957 has 16 divisors (see below), whose sum is σ = 152323200. Its totient is φ = 111056832.

The previous prime is 131416937. The next prime is 131417057. The reversal of 131416957 is 759614131.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131416957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131416937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169623 + ... + 170395.

It is an arithmetic number, because the mean of its divisors is an integer number (9520200).

Almost surely, 2131416957 is an apocalyptic number.

It is an amenable number.

131416957 is a deficient number, since it is larger than the sum of its proper divisors (20906243).

131416957 is a wasteful number, since it uses less digits than its factorization.

131416957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092.

The product of its digits is 22680, while the sum is 37.

The square root of 131416957 is about 11463.7235224861. The cubic root of 131416957 is about 508.4135721647.

The spelling of 131416957 in words is "one hundred thirty-one million, four hundred sixteen thousand, nine hundred fifty-seven".

Divisors: 1 7 149 163 773 1043 1141 5411 24287 115177 125999 170009 806239 881993 18773851 131416957