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312410113 is a prime number
BaseRepresentation
bin10010100111110…
…000000000000001
3210202212002002221
4102213300000001
51114434110423
651000011041
710512304441
oct2247600001
9722762087
10312410113
11150390384
1288760a81
134c954672
142d6c4121
151c660e5d
hex129f0001

312410113 has 2 divisors, whose sum is σ = 312410114. Its totient is φ = 312410112.

The previous prime is 312410107. The next prime is 312410123. The reversal of 312410113 is 311014213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178035649 + 134374464 = 13343^2 + 11592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312410113 is a prime.

It is not a weakly prime, because it can be changed into another prime (312410123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156205056 + 156205057.

It is an arithmetic number, because the mean of its divisors is an integer number (156205057).

It is a Proth number, since it is equal to 4767 ⋅ 216 + 1 and 4767 < 216.

Almost surely, 2312410113 is an apocalyptic number.

It is an amenable number.

312410113 is a deficient number, since it is larger than the sum of its proper divisors (1).

312410113 is an equidigital number, since it uses as much as digits as its factorization.

312410113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 312410113 is about 17675.1269585256. The cubic root of 312410113 is about 678.5393336811.

Adding to 312410113 its reverse (311014213), we get a palindrome (623424326).

The spelling of 312410113 in words is "three hundred twelve million, four hundred ten thousand, one hundred thirteen".