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313813301 is a prime number
BaseRepresentation
bin10010101101000…
…110100100110101
3210212111100220212
4102231012210311
51120314011201
651050035205
710530240404
oct2255064465
9725440825
10313813301
1115115963a
1289118b05
1350026259
142d96b63b
151c83babb
hex12b46935

313813301 has 2 divisors, whose sum is σ = 313813302. Its totient is φ = 313813300.

The previous prime is 313813273. The next prime is 313813307. The reversal of 313813301 is 103318313.

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., 174927076 + 138886225 = 13226^2 + 11785^2 .

It is a cyclic number.

It is not a de Polignac number, because 313813301 - 26 = 313813237 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313813307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156906650 + 156906651.

It is an arithmetic number, because the mean of its divisors is an integer number (156906651).

Almost surely, 2313813301 is an apocalyptic number.

It is an amenable number.

313813301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313813301 is an equidigital number, since it uses as much as digits as its factorization.

313813301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 313813301 is about 17714.7763463161. The cubic root of 313813301 is about 679.5537015261.

The spelling of 313813301 in words is "three hundred thirteen million, eight hundred thirteen thousand, three hundred one".