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312310121 is a prime number
BaseRepresentation
bin10010100111010…
…111100101101001
3210202122222221112
4102213113211221
51114422410441
650553520105
710511410064
oct2247274551
9722588845
10312310121
11150322242
1288713035
134c91acb6
142d6998db
151c6414eb
hex129d7969

312310121 has 2 divisors, whose sum is σ = 312310122. Its totient is φ = 312310120.

The previous prime is 312310099. The next prime is 312310139. The reversal of 312310121 is 121013213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293265625 + 19044496 = 17125^2 + 4364^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312310121 is a prime.

It is a super-2 number, since 2×3123101212 = 195075223358069282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312310096 and 312310105.

It is not a weakly prime, because it can be changed into another prime (312310181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156155060 + 156155061.

It is an arithmetic number, because the mean of its divisors is an integer number (156155061).

Almost surely, 2312310121 is an apocalyptic number.

It is an amenable number.

312310121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312310121 is an equidigital number, since it uses as much as digits as its factorization.

312310121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 312310121 is about 17672.2981244659. The cubic root of 312310121 is about 678.4669333946.

Adding to 312310121 its reverse (121013213), we get a palindrome (433323334).

The spelling of 312310121 in words is "three hundred twelve million, three hundred ten thousand, one hundred twenty-one".