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312083117 is a prime number
BaseRepresentation
bin10010100110100…
…000001010101101
3210202020110112222
4102212200022231
51114343124432
650545005125
710506443213
oct2246401255
9722213488
10312083117
11150187735
12886237a5
134c86b888
142d63acb3
151c5e9112
hex129a02ad

312083117 has 2 divisors, whose sum is σ = 312083118. Its totient is φ = 312083116.

The previous prime is 312083063. The next prime is 312083131. The reversal of 312083117 is 711380213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 181872196 + 130210921 = 13486^2 + 11411^2 .

It is a cyclic number.

It is not a de Polignac number, because 312083117 - 26 = 312083053 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312083147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156041558 + 156041559.

It is an arithmetic number, because the mean of its divisors is an integer number (156041559).

Almost surely, 2312083117 is an apocalyptic number.

It is an amenable number.

312083117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312083117 is an equidigital number, since it uses as much as digits as its factorization.

312083117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 312083117 is about 17665.8743627368. The cubic root of 312083117 is about 678.3025113155.

The spelling of 312083117 in words is "three hundred twelve million, eighty-three thousand, one hundred seventeen".