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313103519818217 is a prime number
BaseRepresentation
bin100011100110001000001100…
…0000100111010000111101001
31112001121101220122020202020222
41013030100120010322013221
5312014342002033140332
63025525434333455425
7122643661050260612
oct10714203004720751
91461541818222228
10313103519818217
1190845503388897
122b149687341575
13105926c5b87a2b
145746411158c09
15262e81b254712
hex11cc41813a1e9

313103519818217 has 2 divisors, whose sum is σ = 313103519818218. Its totient is φ = 313103519818216.

The previous prime is 313103519818147. The next prime is 313103519818231. The reversal of 313103519818217 is 712818915301313.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 313086695393536 + 16824424681 = 17694256^2 + 129709^2 .

It is a cyclic number.

It is not a de Polignac number, because 313103519818217 - 28 = 313103519817961 is a prime.

It is not a weakly prime, because it can be changed into another prime (313103519815217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156551759909108 + 156551759909109.

It is an arithmetic number, because the mean of its divisors is an integer number (156551759909109).

Almost surely, 2313103519818217 is an apocalyptic number.

It is an amenable number.

313103519818217 is a deficient number, since it is larger than the sum of its proper divisors (1).

313103519818217 is an equidigital number, since it uses as much as digits as its factorization.

313103519818217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 313103519818217 in words is "three hundred thirteen trillion, one hundred three billion, five hundred nineteen million, eight hundred eighteen thousand, two hundred seventeen".