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312112109 is a prime number
BaseRepresentation
bin10010100110100…
…111001111101101
3210202021221022202
4102212213033231
51114400041414
650545351245
710506623561
oct2246471755
9722257282
10312112109
111501a74a1
1288638525
134c87bb2a
142d6476a1
151c6029de
hex129a73ed

312112109 has 2 divisors, whose sum is σ = 312112110. Its totient is φ = 312112108.

The previous prime is 312112081. The next prime is 312112159. The reversal of 312112109 is 901211213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 220374025 + 91738084 = 14845^2 + 9578^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312112109 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312112159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156056054 + 156056055.

It is an arithmetic number, because the mean of its divisors is an integer number (156056055).

Almost surely, 2312112109 is an apocalyptic number.

It is an amenable number.

312112109 is a deficient number, since it is larger than the sum of its proper divisors (1).

312112109 is an equidigital number, since it uses as much as digits as its factorization.

312112109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 312112109 is about 17666.6949087825. The cubic root of 312112109 is about 678.3235150550.

The spelling of 312112109 in words is "three hundred twelve million, one hundred twelve thousand, one hundred nine".