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131112096 = 2534133311
BaseRepresentation
bin1111101000010…
…01110010100000
3100010201011222120
413310021302200
5232031041341
621002104240
73151302003
oct764116240
9303634876
10131112096
1168011505
1237aab080
1321217a2b
14135ad53a
15b79d066
hex7d09ca0

131112096 has 48 divisors (see below), whose sum is σ = 352574208. Its totient is φ = 42636800.

The previous prime is 131112083. The next prime is 131112097. The reversal of 131112096 is 690211131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (131112097) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12720 + ... + 20591.

It is an arithmetic number, because the mean of its divisors is an integer number (7345296).

Almost surely, 2131112096 is an apocalyptic number.

131112096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131112096 is an abundant number, since it is smaller than the sum of its proper divisors (221462112).

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

131112096 is a wasteful number, since it uses less digits than its factorization.

131112096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33365 (or 33357 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 131112096 is about 11450.4190316337. The cubic root of 131112096 is about 508.0201285760.

The spelling of 131112096 in words is "one hundred thirty-one million, one hundred twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 33311 66622 99933 133244 199866 266488 399732 532976 799464 1065952 1365751 1598928 2731502 3197856 4097253 5463004 8194506 10926008 16389012 21852016 32778024 43704032 65556048 131112096