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312140819 is a prime number
BaseRepresentation
bin10010100110101…
…110010000010011
3210202100101201002
4102212232100103
51114402001234
650550132215
710510103354
oct2246562023
9722311632
10312140819
11150217021
128865106b
134c88bc13
142d653d2b
151c60b27e
hex129ae413

312140819 has 2 divisors, whose sum is σ = 312140820. Its totient is φ = 312140818.

The previous prime is 312140813. The next prime is 312140861. The reversal of 312140819 is 918041213.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-312140819 is a prime.

It is a super-2 number, since 2×3121408192 = 194863781771981522, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 312140791 and 312140800.

It is not a weakly prime, because it can be changed into another prime (312140813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156070409 + 156070410.

It is an arithmetic number, because the mean of its divisors is an integer number (156070410).

Almost surely, 2312140819 is an apocalyptic number.

312140819 is a deficient number, since it is larger than the sum of its proper divisors (1).

312140819 is an equidigital number, since it uses as much as digits as its factorization.

312140819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 312140819 is about 17667.5074359684. The cubic root of 312140819 is about 678.3443132132.

The spelling of 312140819 in words is "three hundred twelve million, one hundred forty thousand, eight hundred nineteen".