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314023341217 is a prime number
BaseRepresentation
bin1001001000111010011…
…11111110110010100001
31010000112211022120110011
410210131033332302201
520121104433404332
6400132122004521
731454535234145
oct4443517766241
91100484276404
10314023341217
111111a3a980a3
1250a39946741
13237c6220951
14112ad773225
15827d8a2e47
hex491d3feca1

314023341217 has 2 divisors, whose sum is σ = 314023341218. Its totient is φ = 314023341216.

The previous prime is 314023341197. The next prime is 314023341221. The reversal of 314023341217 is 712143320413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 279376730721 + 34646610496 = 528561^2 + 186136^2 .

It is a cyclic number.

It is not a de Polignac number, because 314023341217 - 211 = 314023339169 is a prime.

It is a super-2 number, since 2×3140233412172 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (314023341257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157011670608 + 157011670609.

It is an arithmetic number, because the mean of its divisors is an integer number (157011670609).

Almost surely, 2314023341217 is an apocalyptic number.

It is an amenable number.

314023341217 is a deficient number, since it is larger than the sum of its proper divisors (1).

314023341217 is an equidigital number, since it uses as much as digits as its factorization.

314023341217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 31.

The spelling of 314023341217 in words is "three hundred fourteen billion, twenty-three million, three hundred forty-one thousand, two hundred seventeen".