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617103313 is a prime number
BaseRepresentation
bin100100110010000…
…011111111010001
31121000012002121021
4210302003333101
52230434301223
6141122355441
721202202011
oct4462037721
91530162537
10617103313
1129737a942
121527bbb81
139ab066b8
145bd59c41
153929a65d
hex24c83fd1

617103313 has 2 divisors, whose sum is σ = 617103314. Its totient is φ = 617103312.

The previous prime is 617103301. The next prime is 617103323. The reversal of 617103313 is 313301716.

617103313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 455737104 + 161366209 = 21348^2 + 12703^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-617103313 is a prime.

It is equal to p32170444 and since 617103313 and 32170444 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (617103323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 308551656 + 308551657.

It is an arithmetic number, because the mean of its divisors is an integer number (308551657).

Almost surely, 2617103313 is an apocalyptic number.

It is an amenable number.

617103313 is a deficient number, since it is larger than the sum of its proper divisors (1).

617103313 is an equidigital number, since it uses as much as digits as its factorization.

617103313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 617103313 is about 24841.5642220855. The cubic root of 617103313 is about 851.3718621929.

The spelling of 617103313 in words is "six hundred seventeen million, one hundred three thousand, three hundred thirteen".