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131141131 = 1124612351
BaseRepresentation
bin1111101000100…
…00111000001011
3100010202122210221
413310100320023
5232033004011
621002450511
73151452442
oct764207013
9303678727
10131141131
1168031300
1237b03a37
1321228004
14135b9d59
15b7a6971
hex7d10e0b

131141131 has 12 divisors (see below), whose sum is σ = 144520992. Its totient is φ = 118910000.

The previous prime is 131141117. The next prime is 131141149.

131141131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131141131 - 223 = 122752523 is a prime.

It is a super-2 number, since 2×1311411312 = 34395992479918322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131144131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54606 + ... + 56956.

It is an arithmetic number, because the mean of its divisors is an integer number (12043416).

Almost surely, 2131141131 is an apocalyptic number.

131141131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131141131 is a deficient number, since it is larger than the sum of its proper divisors (13379861).

131141131 is a wasteful number, since it uses less digits than its factorization.

131141131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834 (or 2823 counting only the distinct ones).

The product of its digits is 36, while the sum is 16.

The square root of 131141131 is about 11451.6868189800. The cubic root of 131141131 is about 508.0576264530.

The spelling of 131141131 in words is "one hundred thirty-one million, one hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 11 121 461 2351 5071 25861 55781 284471 1083811 11921921 131141131