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313544666445313 is a prime number
BaseRepresentation
bin100011101001010101100111…
…0011101101111011000000001
31112010011120120220110100102111
41013102223032131233120001
5312044103434102222223
63030504233053015321
7123020566061604562
oct10722531635573001
91463146526410374
10313544666445313
11909a5601130126
122b1bb082484541
13105c519aca33a4
14575d8ddcc4169
15263b03a12b30d
hex11d2ace76f601

313544666445313 has 2 divisors, whose sum is σ = 313544666445314. Its totient is φ = 313544666445312.

The previous prime is 313544666445281. The next prime is 313544666445349.

313544666445313 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165847726163344 + 147696940281969 = 12878188^2 + 12153063^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 313544666445313 - 25 = 313544666445281 is a prime.

It is not a weakly prime, because it can be changed into another prime (313544666445613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156772333222656 + 156772333222657.

It is an arithmetic number, because the mean of its divisors is an integer number (156772333222657).

Almost surely, 2313544666445313 is an apocalyptic number.

It is an amenable number.

313544666445313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313544666445313 is an equidigital number, since it uses as much as digits as its factorization.

313544666445313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 111974400, while the sum is 58.

The spelling of 313544666445313 in words is "three hundred thirteen trillion, five hundred forty-four billion, six hundred sixty-six million, four hundred forty-five thousand, three hundred thirteen".