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131350209088 = 267323211311
BaseRepresentation
bin111101001010100010…
…1010010001001000000
3110120001000120222021211
41322111011102021000
54123001123142323
6140201430455504
712326660233000
oct1722505221100
9416030528254
10131350209088
115078385020a
1221558b04594
13c50383c117
14650093a000
15363b67070d
hex1e95152240

131350209088 has 168 divisors, whose sum is σ = 317781228800. Its totient is φ = 53840666880.

The previous prime is 131350209083. The next prime is 131350209101. The reversal of 131350209088 is 880902053131.

It is a super-2 number, since 2×1313502090882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131350209088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131350209083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11606953 + ... + 11618263.

Almost surely, 2131350209088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131350209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158890614400).

131350209088 is an abundant number, since it is smaller than the sum of its proper divisors (186431019712).

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

131350209088 is an equidigital number, since it uses as much as digits as its factorization.

131350209088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11390 (or 11343 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 131350209088 in words is "one hundred thirty-one billion, three hundred fifty million, two hundred nine thousand, eighty-eight".