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131444131 = 7131444441
BaseRepresentation
bin1111101010110…
…10110110100011
3100011100001110011
413311122312203
5232122203011
621013145351
73154154020
oct765326643
9304301404
10131444131
1168218a15
123802b257
1321302bc0
1413658547
15b816621
hex7d5ada3

131444131 has 8 divisors (see below), whose sum is σ = 161777504. Its totient is φ = 103999680.

The previous prime is 131444129. The next prime is 131444167.

It is a happy number.

131444131 is nontrivially palindromic in base 10.

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 131444131 - 21 = 131444129 is a prime.

It is a super-2 number, since 2×1314441312 = 34555119148690322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131444231) 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 7 ways as a sum of consecutive naturals, for example, 722130 + ... + 722311.

It is an arithmetic number, because the mean of its divisors is an integer number (20222188).

Almost surely, 2131444131 is an apocalyptic number.

131444131 is a deficient number, since it is larger than the sum of its proper divisors (30333373).

131444131 is a wasteful number, since it uses less digits than its factorization.

131444131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444461.

The product of its digits is 576, while the sum is 22.

The square root of 131444131 is about 11464.9086782233. The cubic root of 131444131 is about 508.4486124888.

The spelling of 131444131 in words is "one hundred thirty-one million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 7 13 91 1444441 10111087 18777733 131444131