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131024520 = 233351141269
BaseRepresentation
bin1111100111101…
…00011010001000
3100010112201212000
413303310122020
5232020241040
621000151000
73150455454
oct763643210
9303481760
10131024520
1167a61730
1237a68460
13211b6c03
1413589664
15b782130
hex7cf4688

131024520 has 256 divisors, whose sum is σ = 489888000. Its totient is φ = 30873600.

The previous prime is 131024519. The next prime is 131024557. The reversal of 131024520 is 25420131.

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 = 131024493 and 131024502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486946 + ... + 487214.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 2131024520 is an apocalyptic number.

131024520 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 131024520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244944000).

131024520 is an abundant number, since it is smaller than the sum of its proper divisors (358863480).

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

131024520 is a wasteful number, since it uses less digits than its factorization.

131024520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 131024520 is about 11446.5942533140. The cubic root of 131024520 is about 507.9069931203.

Adding to 131024520 its reverse (25420131), we get a palindrome (156444651).

The spelling of 131024520 in words is "one hundred thirty-one million, twenty-four thousand, five hundred twenty".