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313321397 is a prime number
BaseRepresentation
bin10010101011001…
…110011110110101
3210211120101011012
4102223032132311
51120202241042
651031322005
710523121314
oct2253163665
9724511135
10313321397
11150953004
1288b20305
134cbb339c
142d88027b
151c790e82
hex12ace7b5

313321397 has 2 divisors, whose sum is σ = 313321398. Its totient is φ = 313321396.

The previous prime is 313321363. The next prime is 313321399. The reversal of 313321397 is 793123313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 218862436 + 94458961 = 14794^2 + 9719^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313321397 is a prime.

Together with 313321399, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313321399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156660698 + 156660699.

It is an arithmetic number, because the mean of its divisors is an integer number (156660699).

Almost surely, 2313321397 is an apocalyptic number.

It is an amenable number.

313321397 is a deficient number, since it is larger than the sum of its proper divisors (1).

313321397 is an equidigital number, since it uses as much as digits as its factorization.

313321397 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 10206, while the sum is 32.

The square root of 313321397 is about 17700.8868986839. The cubic root of 313321397 is about 679.1984478401.

The spelling of 313321397 in words is "three hundred thirteen million, three hundred twenty-one thousand, three hundred ninety-seven".