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12351355315321 = 114749663481051
BaseRepresentation
bin1011001110111100011000…
…1001010110010001111001
31121201210000012002110021011
42303233012021112101321
53104331033430042241
642134045001513521
72413233045634261
oct263570611262171
947653005073234
1012351355315321
113a321a9092660
121475937aa28a1
136b795ccc2a29
14309b474507a1
15166448e3e281
hexb3bc6256479

12351355315321 has 16 divisors (see below), whose sum is σ = 13761196720128. Its totient is φ = 10989356346000.

The previous prime is 12351355315319. The next prime is 12351355315331.

12351355315321 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 12351355315321 - 21 = 12351355315319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12351355315301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25435246 + ... + 25916296.

It is an arithmetic number, because the mean of its divisors is an integer number (860074795008).

Almost surely, 212351355315321 is an apocalyptic number.

12351355315321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12351355315321 is a deficient number, since it is larger than the sum of its proper divisors (1409841404807).

12351355315321 is a wasteful number, since it uses less digits than its factorization.

12351355315321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530772.

The product of its digits is 202500, while the sum is 40.

The spelling of 12351355315321 in words is "twelve trillion, three hundred fifty-one billion, three hundred fifty-five million, three hundred fifteen thousand, three hundred twenty-one".

Divisors: 1 11 47 517 49663 481051 546293 2334161 5291561 22609397 25675771 248703367 23890435813 262794793943 1122850483211 12351355315321