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131337108 = 22327521179
BaseRepresentation
bin1111101010000…
…00101110010100
3100011010121122100
413311000232110
5232110241413
621011002100
73153230010
oct765005624
9304117570
10131337108
1168155571
1237b99330
1321296286
141362b540
15b7e4a73
hex7d40b94

131337108 has 36 divisors (see below), whose sum is σ = 379419040. Its totient is φ = 37524816.

The previous prime is 131337103. The next prime is 131337113. The reversal of 131337108 is 801733131.

It is an interprime number because it is at equal distance from previous prime (131337103) and next prime (131337113).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131337103) 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, 260338 + ... + 260841.

Almost surely, 2131337108 is an apocalyptic number.

131337108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131337108 is an abundant number, since it is smaller than the sum of its proper divisors (248081932).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131337108 is a wasteful number, since it uses less digits than its factorization.

131337108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521196 (or 521191 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131337108 is about 11460.2403116165. The cubic root of 131337108 is about 508.3105805338.

The spelling of 131337108 in words is "one hundred thirty-one million, three hundred thirty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 521179 1042358 1563537 2084716 3127074 3648253 4690611 6254148 7296506 9381222 10944759 14593012 18762444 21889518 32834277 43779036 65668554 131337108