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131332120 = 23531105913
BaseRepresentation
bin1111101001111…
…11100000011000
3100011010100210121
413310333200120
5232110111440
621010523024
73153206323
oct764774030
9304110717
10131332120
1168151847
1237b96474
1321293c1a
14136297ba
15b7e334a
hex7d3f818

131332120 has 32 divisors (see below), whose sum is σ = 305032320. Its totient is φ = 50837760.

The previous prime is 131332111. The next prime is 131332133. The reversal of 131332120 is 21233131.

It is a junction number, because it is equal to n+sod(n) for n = 131332094 and 131332103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51717 + ... + 54196.

It is an arithmetic number, because the mean of its divisors is an integer number (9532260).

Almost surely, 2131332120 is an apocalyptic number.

131332120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131332120 is an abundant number, since it is smaller than the sum of its proper divisors (173700200).

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

131332120 is a wasteful number, since it uses less digits than its factorization.

131332120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105955 (or 105951 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 131332120 is about 11460.0226875866. The cubic root of 131332120 is about 508.3041454769.

Adding to 131332120 its reverse (21233131), we get a palindrome (152565251).

It can be divided in two parts, 1313 and 32120, that added together give a palindrome (33433).

The spelling of 131332120 in words is "one hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 105913 211826 423652 529565 847304 1059130 2118260 3283303 4236520 6566606 13133212 16416515 26266424 32833030 65666060 131332120