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313553329 is a prime number
BaseRepresentation
bin10010101100000…
…111000110110001
3210212000011022021
4102230013012301
51120232201304
651040311441
710525105435
oct2254070661
9725004267
10313553329
11150aa1291
1289012581
134cc64b1b
142d9009c5
151c7d9a54
hex12b071b1

313553329 has 2 divisors, whose sum is σ = 313553330. Its totient is φ = 313553328.

The previous prime is 313553327. The next prime is 313553351. The reversal of 313553329 is 923355313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211644304 + 101909025 = 14548^2 + 10095^2 .

It is a cyclic number.

It is not a de Polignac number, because 313553329 - 21 = 313553327 is a prime.

Together with 313553327, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 313553294 and 313553303.

It is not a weakly prime, because it can be changed into another prime (313553327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156776664 + 156776665.

It is an arithmetic number, because the mean of its divisors is an integer number (156776665).

Almost surely, 2313553329 is an apocalyptic number.

It is an amenable number.

313553329 is a deficient number, since it is larger than the sum of its proper divisors (1).

313553329 is an equidigital number, since it uses as much as digits as its factorization.

313553329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 36450, while the sum is 34.

The square root of 313553329 is about 17707.4371098700. The cubic root of 313553329 is about 679.3659957133.

The spelling of 313553329 in words is "three hundred thirteen million, five hundred fifty-three thousand, three hundred twenty-nine".