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131115168 = 2532455261
BaseRepresentation
bin1111101000010…
…10100010100000
3100010201100012100
413310022202200
5232031141133
621002130400
73151313652
oct764124240
9303640170
10131115168
1168013848
1237ab0a00
1321219252
14135b06d2
15b79de13
hex7d0a8a0

131115168 has 36 divisors (see below), whose sum is σ = 372859578. Its totient is φ = 43704960.

The previous prime is 131115139. The next prime is 131115199. The reversal of 131115168 is 861511131.

It is a happy number.

131115168 is a `hidden beast` number, since 131 + 11 + 516 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99440784 + 31674384 = 9972^2 + 5628^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 227343 + ... + 227918.

Almost surely, 2131115168 is an apocalyptic number.

131115168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131115168 is an abundant number, since it is smaller than the sum of its proper divisors (241744410).

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

131115168 is a wasteful number, since it uses less digits than its factorization.

131115168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455277 (or 455266 counting only the distinct ones).

The product of its digits is 720, while the sum is 27.

The square root of 131115168 is about 11450.5531744104. The cubic root of 131115168 is about 508.0240962385.

Adding to 131115168 its reverse (861511131), we get a palindrome (992626299).

The spelling of 131115168 in words is "one hundred thirty-one million, one hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 455261 910522 1365783 1821044 2731566 3642088 4097349 5463132 7284176 8194698 10926264 14568352 16389396 21852528 32778792 43705056 65557584 131115168