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314122309 is a prime number
BaseRepresentation
bin10010101110010…
…010000001000101
3210220002001210121
4102232102001011
51120403403214
651100421541
710532665324
oct2256220105
9726061717
10314122309
1115134a816
12892478b1
1350103ab7
142da0c0bb
151c89d424
hex12b92045

314122309 has 2 divisors, whose sum is σ = 314122310. Its totient is φ = 314122308.

The previous prime is 314122297. The next prime is 314122337. The reversal of 314122309 is 903221413.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 307476225 + 6646084 = 17535^2 + 2578^2 .

It is an emirp because it is prime and its reverse (903221413) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 314122309 - 225 = 280567877 is a prime.

It is a super-2 number, since 2×3141223092 = 197345650022982962, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (314122399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157061154 + 157061155.

It is an arithmetic number, because the mean of its divisors is an integer number (157061155).

Almost surely, 2314122309 is an apocalyptic number.

It is an amenable number.

314122309 is a deficient number, since it is larger than the sum of its proper divisors (1).

314122309 is an equidigital number, since it uses as much as digits as its factorization.

314122309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 314122309 is about 17723.4959587549. The cubic root of 314122309 is about 679.7766776748.

The spelling of 314122309 in words is "three hundred fourteen million, one hundred twenty-two thousand, three hundred nine".