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313012343210313 = 3319091370225951
BaseRepresentation
bin100011100101011101101110…
…1100001110000000101001001
31112001021200120101101011112010
41013022323131201300011021
5312011343234330212223
63025415515122410133
7122634252443013405
oct10712733541600511
91461250511334463
10313012343210313
119080a87558887a
122b133a80500949
1310586c25371676
145741c41c9a105
15262c28195d393
hex11caedd870149

313012343210313 has 16 divisors (see below), whose sum is σ = 430860077514752. Its totient is φ = 201921233130000.

The previous prime is 313012343210299. The next prime is 313012343210317.

It is a happy number.

313012343210313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 313012343210313 - 216 = 313012343144777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313012343210317) 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, 184267513 + ... + 185958438.

It is an arithmetic number, because the mean of its divisors is an integer number (26928754844672).

Almost surely, 2313012343210313 is an apocalyptic number.

It is an amenable number.

313012343210313 is a deficient number, since it is larger than the sum of its proper divisors (117847734304439).

313012343210313 is a wasteful number, since it uses less digits than its factorization.

313012343210313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370235076.

The product of its (nonzero) digits is 11664, while the sum is 30.

The spelling of 313012343210313 in words is "three hundred thirteen trillion, twelve billion, three hundred forty-three million, two hundred ten thousand, three hundred thirteen".

Divisors: 1 3 31 93 9091 27273 281821 845463 370225951 1110677853 11477004481 34431013443 3365724120541 10097172361623 104337447736771 313012343210313