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131153000 = 23531111923
BaseRepresentation
bin1111101000100…
…11110001101000
3100010210021002112
413310103301220
5232033344000
621003021452
73151532156
oct764236150
9303707075
10131153000
116803a210
1237b0a888
1321230534
14135c03d6
15b7aa235
hex7d13c68

131153000 has 64 divisors (see below), whose sum is σ = 334825920. Its totient is φ = 47688000.

The previous prime is 131152963. The next prime is 131153039. The reversal of 131153000 is 351131.

It is a super-2 number, since 2×1311530002 = 34402218818000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5039 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (5231655).

Almost surely, 2131153000 is an apocalyptic number.

131153000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167412960).

131153000 is an abundant number, since it is smaller than the sum of its proper divisors (203672920).

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

131153000 is a wasteful number, since it uses less digits than its factorization.

131153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11955 (or 11941 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 14.

The square root of 131153000 is about 11452.2050278538. The cubic root of 131153000 is about 508.0729533353.

The spelling of 131153000 in words is "one hundred thirty-one million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 11923 23846 47692 59615 95384 119230 131153 238460 262306 298075 476920 524612 596150 655765 1049224 1192300 1311530 1490375 2384600 2623060 2980750 3278825 5246120 5961500 6557650 11923000 13115300 16394125 26230600 32788250 65576500 131153000