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131142130401321 = 32131120872909413
BaseRepresentation
bin11101110100010111101000…
…000110010000000000101001
3122012100001202112212012012200
4131310113220012100000221
5114142113040340320241
61142525510224130413
736423464150013414
oct3564275006200051
9565301675765180
10131142130401321
113887107981a306
1212860282166a09
13582385a8b63c0
142455454b54b7b
151026493aa14b6
hex7745e8190029

131142130401321 has 12 divisors (see below), whose sum is σ = 203998869513348. Its totient is φ = 80702849477664.

The previous prime is 131142130401259. The next prime is 131142130401349. The reversal of 131142130401321 is 123104031241131.

131142130401321 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 21 + 304 + 0 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9696528905625 + 121445601495696 = 3113925^2 + 11020236^2 .

It is not a de Polignac number, because 131142130401321 - 222 = 131142126207017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131142130401371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560436454590 + ... + 560436454823.

It is an arithmetic number, because the mean of its divisors is an integer number (16999905792779).

Almost surely, 2131142130401321 is an apocalyptic number.

It is an amenable number.

131142130401321 is a deficient number, since it is larger than the sum of its proper divisors (72856739112027).

131142130401321 is a wasteful number, since it uses less digits than its factorization.

131142130401321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120872909432 (or 1120872909429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131142130401321 its reverse (123104031241131), we get a palindrome (254246161642452).

The spelling of 131142130401321 in words is "one hundred thirty-one trillion, one hundred forty-two billion, one hundred thirty million, four hundred one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 1120872909413 3362618728239 10087856184717 14571347822369 43714043467107 131142130401321