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131040296680 = 235192937243101
BaseRepresentation
bin111101000001010011…
…1000011111011101000
3110112020102102210101111
41322002213003323220
54121332303443210
6140111000200104
712316205100166
oct1720247037350
9415212383344
10131040296680
1150634916457
1221491169034
13c4845805b7
1464b1706236
15361e35488a
hex1e829c3ee8

131040296680 has 384 divisors, whose sum is σ = 340989264000. Its totient is φ = 45113241600.

The previous prime is 131040296671. The next prime is 131040296719. The reversal of 131040296680 is 86692040131.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1297428630 + ... + 1297428730.

It is an arithmetic number, because the mean of its divisors is an integer number (887992875).

Almost surely, 2131040296680 is an apocalyptic number.

131040296680 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 131040296680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170494632000).

131040296680 is an abundant number, since it is smaller than the sum of its proper divisors (209948967320).

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

131040296680 is a wasteful number, since it uses less digits than its factorization.

131040296680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 131040296680 in words is "one hundred thirty-one billion, forty million, two hundred ninety-six thousand, six hundred eighty".