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131490596292 = 2231143101347661
BaseRepresentation
bin111101001110101110…
…0110100010111000100
3110120101210202101022220
41322131130310113010
54123243043040132
6140223403452340
712333313425066
oct1723534642704
9416353671286
10131490596292
11508460171a0
1221597b270b0
13c526953783
146515441736
153648b51a2c
hex1e9d7345c4

131490596292 has 192 divisors, whose sum is σ = 347399635968. Its totient is φ = 38364480000.

The previous prime is 131490596287. The next prime is 131490596317. The reversal of 131490596292 is 292695094131.

131490596292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 198926442 + ... + 198927102.

It is an arithmetic number, because the mean of its divisors is an integer number (1809373104).

Almost surely, 2131490596292 is an apocalyptic number.

131490596292 is a gapful number since it is divisible by the number (12) 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 131490596292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173699817984).

131490596292 is an abundant number, since it is smaller than the sum of its proper divisors (215909039676).

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

131490596292 is a wasteful number, since it uses less digits than its factorization.

131490596292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 51.

The spelling of 131490596292 in words is "one hundred thirty-one billion, four hundred ninety million, five hundred ninety-six thousand, two hundred ninety-two".