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131332444244532 = 223216288122397477
BaseRepresentation
bin11101110111001000110111…
…101011111100101000110100
3122020000020222211221010112100
4131313020313223330220310
5114203222321211311112
61143153143022222100
736443312254002306
oct3567106753745064
9566006884833470
10131332444244532
113893485aa45553
1212891135a24930
13583879a251b4b
14246074a64b976
15102b3d19ad2dc
hex777237afca34

131332444244532 has 36 divisors (see below), whose sum is σ = 331981287055236. Its totient is φ = 43777210690560.

The previous prime is 131332444244503. The next prime is 131332444244627. The reversal of 131332444244532 is 235442444233131.

131332444244532 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 32 + 4 + 4 + 42 + 44 + 532 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105982165815696 + 25350278428836 = 10294764^2 + 5034906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1313324442445322 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5335023 + ... + 17062454.

It is an arithmetic number, because the mean of its divisors is an integer number (9221702418201).

Almost surely, 2131332444244532 is an apocalyptic number.

131332444244532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131332444244532 is an abundant number, since it is smaller than the sum of its proper divisors (200648842810704).

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

131332444244532 is a wasteful number, since it uses less digits than its factorization.

131332444244532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22560368 (or 22560363 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

Adding to 131332444244532 its reverse (235442444233131), we get a palindrome (366774888477663).

The spelling of 131332444244532 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, four hundred forty-four million, two hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 162881 325762 488643 651524 977286 1465929 1954572 2931858 5863716 22397477 44794954 67192431 89589908 134384862 201577293 268769724 403154586 806309172 3648123451237 7296246902474 10944370353711 14592493804948 21888740707422 32833111061133 43777481414844 65666222122266 131332444244532