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131361144 = 23311348437
BaseRepresentation
bin1111101010001…
…10100101111000
3100011011211121120
413311012211320
5232112024034
621011305240
73153360045
oct765064570
9304154546
10131361144
1168171632
1237bab220
13212a41b5
14136361cc
15b7ebc49
hex7d46978

131361144 has 32 divisors (see below), whose sum is σ = 331315920. Its totient is φ = 43398656.

The previous prime is 131361143. The next prime is 131361169. The reversal of 131361144 is 441163131.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131361143) 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, 21507 + ... + 26930.

Almost surely, 2131361144 is an apocalyptic number.

It is an amenable number.

131361144 is an abundant number, since it is smaller than the sum of its proper divisors (199954776).

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

131361144 is a wasteful number, since it uses less digits than its factorization.

131361144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48559 (or 48555 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 131361144 is about 11461.2889327510. The cubic root of 131361144 is about 508.3415872768.

The spelling of 131361144 in words is "one hundred thirty-one million, three hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 904 1356 2712 48437 96874 145311 193748 290622 387496 581244 1162488 5473381 10946762 16420143 21893524 32840286 43787048 65680572 131361144