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131242131 = 3220537103
BaseRepresentation
bin1111101001010…
…01100010010011
3100010221210100200
413310221202103
5232044222011
621004550243
73152353056
oct764514223
9303853320
10131242131
11680a0179
1237b52383
1321261c87
1413604a9d
15b7c6856
hex7d29893

131242131 has 12 divisors (see below), whose sum is σ = 189691008. Its totient is φ = 87439824.

The previous prime is 131242129. The next prime is 131242157.

131242131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131242131 - 21 = 131242129 is a prime.

It is a super-2 number, since 2×1312421312 = 34448993898842322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131242931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14926 + ... + 22028.

It is an arithmetic number, because the mean of its divisors is an integer number (15807584).

Almost surely, 2131242131 is an apocalyptic number.

131242131 is a deficient number, since it is larger than the sum of its proper divisors (58448877).

131242131 is a wasteful number, since it uses less digits than its factorization.

131242131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162 (or 9159 counting only the distinct ones).

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

The square root of 131242131 is about 11456.0958009262. The cubic root of 131242131 is about 508.1880219849.

The spelling of 131242131 in words is "one hundred thirty-one million, two hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 2053 6159 7103 18477 21309 63927 14582459 43747377 131242131