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131332444252350 = 2352118310722733943
BaseRepresentation
bin11101110111001000110111…
…101011111110100010111110
3122020000020222211221112020220
4131313020313223332202332
5114203222321212033400
61143153143022322210
736443312254034145
oct3567106753764276
9566006884845226
10131332444252350
113893485aa50410
1212891135a29366
13583879a255583
14246074a65075c
15102b3d19b07a0
hex777237afe8be

131332444252350 has 384 divisors, whose sum is σ = 363207321243648. Its totient is φ = 31138999603200.

The previous prime is 131332444252291. The next prime is 131332444252403. The reversal of 131332444252350 is 53252444233131.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33307744479 + ... + 33307748421.

It is an arithmetic number, because the mean of its divisors is an integer number (945852399072).

Almost surely, 2131332444252350 is an apocalyptic number.

131332444252350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131332444252350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181603660621824).

131332444252350 is an abundant number, since it is smaller than the sum of its proper divisors (231874876991298).

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

131332444252350 is a wasteful number, since it uses less digits than its factorization.

131332444252350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

Adding to 131332444252350 its reverse (53252444233131), we get a palindrome (184584888485481).

The spelling of 131332444252350 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four hundred forty-four million, two hundred fifty-two thousand, three hundred fifty".