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313313112689 is a prime number
BaseRepresentation
bin1001000111100101110…
…10101011001001110001
31002221201022220020001212
410203302322223021301
520113131124101224
6355533431205505
731431122342063
oct4436272531161
91087638806055
10313313112689
1111096a0a1975
125087bb16895
132371203c995
14112432d5733
15823b35ed0e
hex48f2eab271

313313112689 has 2 divisors, whose sum is σ = 313313112690. Its totient is φ = 313313112688.

The previous prime is 313313112661. The next prime is 313313112691. The reversal of 313313112689 is 986211313313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162840496225 + 150472616464 = 403535^2 + 387908^2 .

It is a cyclic number.

It is not a de Polignac number, because 313313112689 - 212 = 313313108593 is a prime.

Together with 313313112691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (313313142689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156656556344 + 156656556345.

It is an arithmetic number, because the mean of its divisors is an integer number (156656556345).

Almost surely, 2313313112689 is an apocalyptic number.

It is an amenable number.

313313112689 is a deficient number, since it is larger than the sum of its proper divisors (1).

313313112689 is an equidigital number, since it uses as much as digits as its factorization.

313313112689 is an evil number, because the sum of its binary digits is even.

The product of its digits is 69984, while the sum is 41.

The spelling of 313313112689 in words is "three hundred thirteen billion, three hundred thirteen million, one hundred twelve thousand, six hundred eighty-nine".