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12320122322313 = 3213105300190789
BaseRepresentation
bin1011001101001000000010…
…0000111011110110001001
31121121210101111201000110100
42303102000200323312021
53103323102303303223
642111441442240013
72411046054604521
oct263220040736611
947553344630410
1012320122322313
113a1aa30958743
12146b880056009
136b4a23354090
14308423368681
1516571be5e043
hexb348083bd89

12320122322313 has 12 divisors (see below), whose sum is σ = 19164634723780. Its totient is φ = 7581613736736.

The previous prime is 12320122322303. The next prime is 12320122322327. The reversal of 12320122322313 is 31322322102321.

12320122322313 is a `hidden beast` number, since 1 + 2 + 3 + 2 + 0 + 1 + 22 + 322 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 997617420864 + 11322504901449 = 998808^2 + 3364893^2 .

It is not a de Polignac number, because 12320122322313 - 210 = 12320122321289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12320122322303) 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, 52650095278 + ... + 52650095511.

Almost surely, 212320122322313 is an apocalyptic number.

12320122322313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12320122322313 is a deficient number, since it is larger than the sum of its proper divisors (6844512401467).

12320122322313 is a wasteful number, since it uses less digits than its factorization.

12320122322313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105300190808 (or 105300190805 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 12320122322313 its reverse (31322322102321), we get a palindrome (43642444424634).

The spelling of 12320122322313 in words is "twelve trillion, three hundred twenty billion, one hundred twenty-two million, three hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 3 9 13 39 117 105300190789 315900572367 947701717101 1368902480257 4106707440771 12320122322313