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131154120 = 23335121439
BaseRepresentation
bin1111101000101…
…00000011001000
3100010210022122000
413310110003020
5232033412440
621003031000
73151535346
oct764240310
9303708560
10131154120
1168040039
1237b0b460
1321230bb6
14135c0996
15b7aa730
hex7d140c8

131154120 has 64 divisors (see below), whose sum is σ = 437184000. Its totient is φ = 34974144.

The previous prime is 131154091. The next prime is 131154139. The reversal of 131154120 is 21451131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131154093 and 131154102.

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 15 ways as a sum of consecutive naturals, for example, 59640 + ... + 61799.

It is an arithmetic number, because the mean of its divisors is an integer number (6831000).

Almost surely, 2131154120 is an apocalyptic number.

131154120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131154120 is an abundant number, since it is smaller than the sum of its proper divisors (306029880).

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

131154120 is a wasteful number, since it uses less digits than its factorization.

131154120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121459 (or 121449 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131154120 is about 11452.2539266295. The cubic root of 131154120 is about 508.0743995854.

The spelling of 131154120 in words is "one hundred thirty-one million, one hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 121439 242878 364317 485756 607195 728634 971512 1092951 1214390 1457268 1821585 2185902 2428780 2914536 3278853 3643170 4371804 4857560 5464755 6557706 7286340 8743608 10929510 13115412 14572680 16394265 21859020 26230824 32788530 43718040 65577060 131154120