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131232120 = 23354572393
BaseRepresentation
bin1111101001001…
…11000101111000
3100010221021121220
413310213011320
5232043411440
621004432040
73152311635
oct764470570
9303837556
10131232120
11680936a8
1237b48620
132125a556
141360118c
15b7c38d0
hex7d27178

131232120 has 64 divisors (see below), whose sum is σ = 394722720. Its totient is φ = 34904064.

The previous prime is 131232113. The next prime is 131232133. The reversal of 131232120 is 21232131.

131232120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 131232120.

It is a congruent number.

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, 53644 + ... + 56036.

Almost surely, 2131232120 is an apocalyptic number.

131232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131232120 is an abundant number, since it is smaller than the sum of its proper divisors (263490600).

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

131232120 is a wasteful number, since it uses less digits than its factorization.

131232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131232120 is about 11455.6588636359. The cubic root of 131232120 is about 508.1751003221.

Adding to 131232120 its reverse (21232131), we get a palindrome (152464251).

The spelling of 131232120 in words is "one hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 457 914 1371 1828 2285 2393 2742 3656 4570 4786 5484 6855 7179 9140 9572 10968 11965 13710 14358 18280 19144 23930 27420 28716 35895 47860 54840 57432 71790 95720 143580 287160 1093601 2187202 3280803 4374404 5468005 6561606 8748808 10936010 13123212 16404015 21872020 26246424 32808030 43744040 65616060 131232120