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313141327 is a prime number
BaseRepresentation
bin10010101010100…
…010100001001111
3210211020020010221
4102222202201033
51120131010302
651023412211
710521441322
oct2252424117
9724206127
10313141327
1115083a794
1288a54067
134cb4c435
142d8347b9
151c757937
hex12aa284f

313141327 has 2 divisors, whose sum is σ = 313141328. Its totient is φ = 313141326.

The previous prime is 313141303. The next prime is 313141349. The reversal of 313141327 is 723141313.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 313141327 - 211 = 313139279 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313141727) 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, 156570663 + 156570664.

It is an arithmetic number, because the mean of its divisors is an integer number (156570664).

Almost surely, 2313141327 is an apocalyptic number.

313141327 is a deficient number, since it is larger than the sum of its proper divisors (1).

313141327 is an equidigital number, since it uses as much as digits as its factorization.

313141327 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 25.

The square root of 313141327 is about 17695.7996993637. The cubic root of 313141327 is about 679.0683080934.

The spelling of 313141327 in words is "three hundred thirteen million, one hundred forty-one thousand, three hundred twenty-seven".