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131098431 = 3672392729
BaseRepresentation
bin1111101000001…
…10011100111111
3100010200111020110
413310012130333
5232030122211
621001521103
73151214112
oct764063477
9303614213
10131098431
1168002212
1237aa3193
1321211749
14135a8579
15b798ea6
hex7d0673f

131098431 has 16 divisors (see below), whose sum is σ = 178214400. Its totient is φ = 85702848.

The previous prime is 131098427. The next prime is 131098477. The reversal of 131098431 is 134890131.

It is not a de Polignac number, because 131098431 - 22 = 131098427 is a prime.

It is a super-2 number, since 2×1310984312 = 34373597221323522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131098031) 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, 46675 + ... + 49403.

It is an arithmetic number, because the mean of its divisors is an integer number (11138400).

Almost surely, 2131098431 is an apocalyptic number.

131098431 is a deficient number, since it is larger than the sum of its proper divisors (47115969).

131098431 is a wasteful number, since it uses less digits than its factorization.

131098431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3038.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131098431 is about 11449.8223130318. The cubic root of 131098431 is about 508.0024787012.

The spelling of 131098431 in words is "one hundred thirty-one million, ninety-eight thousand, four hundred thirty-one".

Divisors: 1 3 67 201 239 717 2729 8187 16013 48039 182843 548529 652231 1956693 43699477 131098431