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312309919 is a prime number
BaseRepresentation
bin10010100111010…
…111100010011111
3210202122222200001
4102213113202133
51114422404134
650553515131
710511406355
oct2247274237
9722588601
10312309919
11150322079
1288712aa7
134c91ab8c
142d6997d5
151c641414
hex129d789f

312309919 has 2 divisors, whose sum is σ = 312309920. Its totient is φ = 312309918.

The previous prime is 312309917. The next prime is 312309923. The reversal of 312309919 is 919903213.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 312309919 - 21 = 312309917 is a prime.

It is a super-2 number, since 2×3123099192 = 195074971011573122, which contains 22 as substring.

Together with 312309917, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312309917) 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, 156154959 + 156154960.

It is an arithmetic number, because the mean of its divisors is an integer number (156154960).

Almost surely, 2312309919 is an apocalyptic number.

312309919 is a deficient number, since it is larger than the sum of its proper divisors (1).

312309919 is an equidigital number, since it uses as much as digits as its factorization.

312309919 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13122, while the sum is 37.

The square root of 312309919 is about 17672.2924093056. The cubic root of 312309919 is about 678.4667871187.

The spelling of 312309919 in words is "three hundred twelve million, three hundred nine thousand, nine hundred nineteen".