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131304972708 = 2232713175989449
BaseRepresentation
bin111101001001001100…
…0101110000110100100
3110112220212110201122100
41322102120232012210
54122403033111313
6140153133132100
712325600565340
oct1722230560644
9415825421570
10131304972708
1150760263478
122154592a030
13c4c7361030
1464d8922620
1536376d7173
hex1e9262e1a4

131304972708 has 576 divisors, whose sum is σ = 445798080000. Its totient is φ = 31609847808.

The previous prime is 131304972697. The next prime is 131304972719. The reversal of 131304972708 is 807279403131.

131304972708 is a `hidden beast` number, since 1 + 3 + 130 + 497 + 27 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (131304972697) and next prime (131304972719).

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 191 ways as a sum of consecutive naturals, for example, 292438468 + ... + 292438916.

It is an arithmetic number, because the mean of its divisors is an integer number (773955000).

Almost surely, 2131304972708 is an apocalyptic number.

131304972708 is a gapful number since it is divisible by the number (18) 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 131304972708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040000).

131304972708 is an abundant number, since it is smaller than the sum of its proper divisors (314493107292).

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

131304972708 is a wasteful number, since it uses less digits than its factorization.

131304972708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 131304972708 in words is "one hundred thirty-one billion, three hundred four million, nine hundred seventy-two thousand, seven hundred eight".