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131132212212321 = 3278893318468293
BaseRepresentation
bin11101110100001110011000…
…111011010111001001100001
3122012022010011100000222200100
4131310032120323113021201
5114141432232311243241
61142521150123013013
736422663314546455
oct3564163073271141
9565263140028610
10131132212212321
113886794a2030a1
121285a37466a169
135822939b41708
142454b9380a665
1510260b2ea39b6
hex774398ed7261

131132212212321 has 12 divisors (see below), whose sum is σ = 189413445761748. Its totient is φ = 87421359264864.

The previous prime is 131132212212319. The next prime is 131132212212361. The reversal of 131132212212321 is 123212212231131.

131132212212321 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 322 + 1 + 2 + 2 + 12 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 82458022809600 + 48674189402721 = 9080640^2 + 6976689^2 .

It is not a de Polignac number, because 131132212212321 - 21 = 131132212212319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131132212212361) 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, 2133750 + ... + 16334543.

It is an arithmetic number, because the mean of its divisors is an integer number (15784453813479).

Almost surely, 2131132212212321 is an apocalyptic number.

It is an amenable number.

131132212212321 is a deficient number, since it is larger than the sum of its proper divisors (58281233549427).

131132212212321 is a wasteful number, since it uses less digits than its factorization.

131132212212321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19257232 (or 19257229 counting only the distinct ones).

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

Adding to 131132212212321 its reverse (123212212231131), we get a palindrome (254344424443452).

The spelling of 131132212212321 in words is "one hundred thirty-one trillion, one hundred thirty-two billion, two hundred twelve million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 788933 2366799 7100397 18468293 55404879 166214637 14570245801369 43710737404107 131132212212321