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131323131 = 32731371459
BaseRepresentation
bin1111101001111…
…01010011111011
3100011002220110200
413310331103323
5232104320011
621010413243
73153141162
oct764752373
9304086420
10131323131
1168146015
1237b91223
132128cac4
14136263d9
15b7e0856
hex7d3d4fb

131323131 has 24 divisors (see below), whose sum is σ = 193823760. Its totient is φ = 85660416.

The previous prime is 131323111. The next prime is 131323141.

It is a happy number.

131323131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131323131 - 26 = 131323067 is a prime.

It is a super-2 number, since 2×1313231312 = 34491529471286322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131323111) 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 23 ways as a sum of consecutive naturals, for example, 89280 + ... + 90738.

It is an arithmetic number, because the mean of its divisors is an integer number (8075990).

Almost surely, 2131323131 is an apocalyptic number.

131323131 is a deficient number, since it is larger than the sum of its proper divisors (62500629).

131323131 is a wasteful number, since it uses less digits than its factorization.

131323131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1672 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131323131 is about 11459.6304914251. The cubic root of 131323131 is about 508.2925482880.

The spelling of 131323131 in words is "one hundred thirty-one million, three hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 3 9 73 137 219 411 657 1233 1459 4377 10001 13131 30003 90009 106507 199883 319521 599649 958563 1798947 14591459 43774377 131323131