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131024304 = 24341719313
BaseRepresentation
bin1111100111101…
…00010110110000
3100010112201120000
413303310112300
5232020234204
621000150000
73150455025
oct763642660
9303481500
10131024304
1167a61554
1237a68300
13211b6a98
141358954c
15b782039
hex7cf45b0

131024304 has 200 divisors, whose sum is σ = 424013040. Its totient is φ = 38817792.

The previous prime is 131024303. The next prime is 131024339. The reversal of 131024304 is 403420131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131024303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 418452 + ... + 418764.

Almost surely, 2131024304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131024304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212006520).

131024304 is an abundant number, since it is smaller than the sum of its proper divisors (292988736).

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

131024304 is a wasteful number, since it uses less digits than its factorization.

131024304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131024304 is about 11446.5848181892. The cubic root of 131024304 is about 507.9067140174.

Adding to 131024304 its reverse (403420131), we get a palindrome (534444435).

It can be divided in two parts, 131024 and 304, that added together give a triangular number (131328 = T512).

The spelling of 131024304 in words is "one hundred thirty-one million, twenty-four thousand, three hundred four".