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131051040 = 25353747157
BaseRepresentation
bin1111100111110…
…10111000100000
3100010121002020020
413303322320200
5232022113130
621000513440
73150626001
oct763727040
9303532206
10131051040
1167a7a64a
1237a7b880
13211c5cc3
14135951a8
15b789e10
hex7cfae20

131051040 has 192 divisors, whose sum is σ = 435746304. Its totient is φ = 33067008.

The previous prime is 131050991. The next prime is 131051051. The reversal of 131051040 is 40150131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834642 + ... + 834798.

It is an arithmetic number, because the mean of its divisors is an integer number (2269512).

Almost surely, 2131051040 is an apocalyptic number.

131051040 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 131051040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217873152).

131051040 is an abundant number, since it is smaller than the sum of its proper divisors (304695264).

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

131051040 is a wasteful number, since it uses less digits than its factorization.

131051040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 131051040 is about 11447.7526178722. The cubic root of 131051040 is about 507.9412584237.

Subtracting from 131051040 its reverse (40150131), we obtain a palindrome (90900909).

The spelling of 131051040 in words is "one hundred thirty-one million, fifty-one thousand, forty".