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131331451520205 = 3252918476700449
BaseRepresentation
bin11101110111000111111100…
…100001000000010011001101
3122020000011102122221111202200
4131313013330201000103031
5114203213303042121310
61143152500320512113
736443245540663266
oct3567077441002315
9566004378844680
10131331451520205
11389343a0641022
1212890ab947b639
13583866c6914c1
14246069487596d
15102b3747679c0
hex7771fc8404cd

131331451520205 has 12 divisors (see below), whose sum is σ = 227641182635100. Its totient is φ = 70043440810752.

The previous prime is 131331451520201. The next prime is 131331451520207. The reversal of 131331451520205 is 502025154133131.

It is a happy number.

131331451520205 is a `hidden beast` number, since 1 + 3 + 133 + 1 + 4 + 515 + 2 + 0 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16274035423881 + 115057416096324 = 4034109^2 + 10726482^2 .

It is not a de Polignac number, because 131331451520205 - 22 = 131331451520201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 131331451520205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331451520201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1459238350180 + ... + 1459238350269.

It is an arithmetic number, because the mean of its divisors is an integer number (18970098552925).

Almost surely, 2131331451520205 is an apocalyptic number.

131331451520205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131331451520205 is a deficient number, since it is larger than the sum of its proper divisors (96309731114895).

131331451520205 is a wasteful number, since it uses less digits than its factorization.

131331451520205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918476700460 (or 2918476700457 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 131331451520205 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred fifty-one million, five hundred twenty thousand, two hundred five".

Divisors: 1 3 5 9 15 45 2918476700449 8755430101347 14592383502245 26266290304041 43777150506735 131331451520205