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315106117 is a prime number
BaseRepresentation
bin10010110010000…
…010001101000101
3210221221001022221
4102302002031011
51121131343432
651133452341
710544233504
oct2262021505
9727831287
10315106117
11151961987
12896410b1
1350389831
142dbc683b
151c9e4b97
hex12c82345

315106117 has 2 divisors, whose sum is σ = 315106118. Its totient is φ = 315106116.

The previous prime is 315106109. The next prime is 315106139. The reversal of 315106117 is 711601513.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 296907361 + 18198756 = 17231^2 + 4266^2 .

It is a cyclic number.

It is not a de Polignac number, because 315106117 - 23 = 315106109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315106091 and 315106100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (315106157) 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, 157553058 + 157553059.

It is an arithmetic number, because the mean of its divisors is an integer number (157553059).

Almost surely, 2315106117 is an apocalyptic number.

It is an amenable number.

315106117 is a deficient number, since it is larger than the sum of its proper divisors (1).

315106117 is an equidigital number, since it uses as much as digits as its factorization.

315106117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 315106117 is about 17751.2286053670. The cubic root of 315106117 is about 680.4856082916.

The spelling of 315106117 in words is "three hundred fifteen million, one hundred six thousand, one hundred seventeen".