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131620930560 = 2103557217127
BaseRepresentation
bin111101010010100111…
…0000000010000000000
3110120201220000001100000
41322211032000100000
54124024424234220
6140244341200000
712336455310300
oct1724516002000
9416656001300
10131620930560
1150902647269
1221613700000
13c547958442
14652888b600
1536552e9390
hex1ea5380400

131620930560 has 1584 divisors, whose sum is σ = 587121260544. Its totient is φ = 28092137472.

The previous prime is 131620930541. The next prime is 131620930579. The reversal of 131620930560 is 65039026131.

131620930560 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 2 + 0 + 93 + 0 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (131620930541) and next prime (131620930579).

It is a super-2 number, since 2×1316209305602 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1036385217 + ... + 1036385343.

Almost surely, 2131620930560 is an apocalyptic number.

131620930560 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 131620930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293560630272).

131620930560 is an abundant number, since it is smaller than the sum of its proper divisors (455500329984).

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

131620930560 is a wasteful number, since it uses less digits than its factorization.

131620930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

Adding to 131620930560 its reverse (65039026131), we get a palindrome (196659956691).

The spelling of 131620930560 in words is "one hundred thirty-one billion, six hundred twenty million, nine hundred thirty thousand, five hundred sixty".