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314515213 is a prime number
BaseRepresentation
bin10010101111110…
…001111100001101
3210220211000202121
4102233301330031
51121003441323
651113052541
710536222655
oct2257617415
9726730677
10314515213
11151598a31
12893b7151
135021089c
142dab1365
151c929a5d
hex12bf1f0d

314515213 has 2 divisors, whose sum is σ = 314515214. Its totient is φ = 314515212.

The previous prime is 314515177. The next prime is 314515217. The reversal of 314515213 is 312515413.

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., 199317924 + 115197289 = 14118^2 + 10733^2 .

It is a cyclic number.

It is not a de Polignac number, because 314515213 - 217 = 314384141 is a prime.

It is a super-3 number, since 3×3145152133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314515217) 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, 157257606 + 157257607.

It is an arithmetic number, because the mean of its divisors is an integer number (157257607).

Almost surely, 2314515213 is an apocalyptic number.

It is an amenable number.

314515213 is a deficient number, since it is larger than the sum of its proper divisors (1).

314515213 is an equidigital number, since it uses as much as digits as its factorization.

314515213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1800, while the sum is 25.

The square root of 314515213 is about 17734.5767640505. The cubic root of 314515213 is about 680.0599810124.

The spelling of 314515213 in words is "three hundred fourteen million, five hundred fifteen thousand, two hundred thirteen".