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312766313 is a prime number
BaseRepresentation
bin10010101001000…
…110111101101001
3210210112011201112
4102221012331221
51120032010223
651011400105
710515320066
oct2251067551
9723464645
10312766313
11150603a62
12888b3035
134ca4a832
142d777c6d
151c6d1778
hex12a46f69

312766313 has 2 divisors, whose sum is σ = 312766314. Its totient is φ = 312766312.

The previous prime is 312766309. The next prime is 312766319. The reversal of 312766313 is 313667213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178275904 + 134490409 = 13352^2 + 11597^2 .

It is a cyclic number.

It is not a de Polignac number, because 312766313 - 22 = 312766309 is a prime.

It is a super-2 number, since 2×3127663132 = 195645533095227938, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 312766313.

It is not a weakly prime, because it can be changed into another prime (312766319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156383156 + 156383157.

It is an arithmetic number, because the mean of its divisors is an integer number (156383157).

Almost surely, 2312766313 is an apocalyptic number.

It is an amenable number.

312766313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312766313 is an equidigital number, since it uses as much as digits as its factorization.

312766313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13608, while the sum is 32.

The square root of 312766313 is about 17685.2003946803. The cubic root of 312766313 is about 678.7971186682.

The spelling of 312766313 in words is "three hundred twelve million, seven hundred sixty-six thousand, three hundred thirteen".