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312693842809 is a prime number
BaseRepresentation
bin1001000110011100000…
…00010110001101111001
31002220010011122001111101
410203032000112031321
520110344110432214
6355352150131401
731406562544405
oct4431600261571
91086104561441
10312693842809
11110681582287
1250728650b61
13236439580ba
14111c4d74105
158201cd7774
hex48ce016379

312693842809 has 2 divisors, whose sum is σ = 312693842810. Its totient is φ = 312693842808.

The previous prime is 312693842779. The next prime is 312693842897. The reversal of 312693842809 is 908248396213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 238725074025 + 73968768784 = 488595^2 + 271972^2 .

It is a cyclic number.

It is not a de Polignac number, because 312693842809 - 25 = 312693842777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312693842809.

It is not a weakly prime, because it can be changed into another prime (312693842009) 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, 156346921404 + 156346921405.

It is an arithmetic number, because the mean of its divisors is an integer number (156346921405).

Almost surely, 2312693842809 is an apocalyptic number.

It is an amenable number.

312693842809 is a deficient number, since it is larger than the sum of its proper divisors (1).

312693842809 is an equidigital number, since it uses as much as digits as its factorization.

312693842809 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4478976, while the sum is 55.

The spelling of 312693842809 in words is "three hundred twelve billion, six hundred ninety-three million, eight hundred forty-two thousand, eight hundred nine".