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131024250 = 2335374759
BaseRepresentation
bin1111100111101…
…00010101111010
3100010112201111000
413303310111322
5232020234000
621000145430
73150454620
oct763642572
9303481430
10131024250
1167a61505
1237a68276
13211b6a56
1413589510
15b782000
hex7cf457a

131024250 has 256 divisors, whose sum is σ = 431308800. Its totient is φ = 28814400.

The previous prime is 131024227. The next prime is 131024263. The reversal of 131024250 is 52420131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2220721 + ... + 2220779.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2131024250 is an apocalyptic number.

131024250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131024250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215654400).

131024250 is an abundant number, since it is smaller than the sum of its proper divisors (300284550).

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

131024250 is a wasteful number, since it uses less digits than its factorization.

131024250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 123 counting only the distinct ones).

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

The square root of 131024250 is about 11446.5824594068. The cubic root of 131024250 is about 507.9066442416.

Adding to 131024250 its reverse (52420131), we get a palindrome (183444381).

The spelling of 131024250 in words is "one hundred thirty-one million, twenty-four thousand, two hundred fifty".