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131359656960 = 210355715083
BaseRepresentation
bin111101001010110100…
…1010100110000000000
3110120001200100222100000
41322111221110300000
54123011033010320
6140202405200000
712330133442550
oct1722551246000
9416050328300
10131359656960
1150789113574
1221560100000
13c50579958c
146501cb9160
15363c3d9c90
hex1e95a54c00

131359656960 has 528 divisors, whose sum is σ = 539482035456. Its totient is φ = 30023073792.

The previous prime is 131359656937. The next prime is 131359657003. The reversal of 131359656960 is 69656953131.

131359656960 is a `hidden beast` number, since 1 + 3 + 13 + 5 + 9 + 6 + 569 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 131359656897 and 131359656906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8701579 + ... + 8716661.

Almost surely, 2131359656960 is an apocalyptic number.

131359656960 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 131359656960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269741017728).

131359656960 is an abundant number, since it is smaller than the sum of its proper divisors (408122378496).

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

131359656960 is an equidigital number, since it uses as much as digits as its factorization.

131359656960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15130 (or 15100 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 131359656960 in words is "one hundred thirty-one billion, three hundred fifty-nine million, six hundred fifty-six thousand, nine hundred sixty".