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312857855813 is a prime number
BaseRepresentation
bin1001000110101111100…
…10000000011101000101
31002220112121020210001002
410203113302000131011
520111213102341223
6355420325343045
731413623616416
oct4432762003505
91086477223032
10312857855813
11110756115718
1250773567a85
132366b922309
14111dca6980d
1582113d3e28
hex48d7c80745

312857855813 has 2 divisors, whose sum is σ = 312857855814. Its totient is φ = 312857855812.

The previous prime is 312857855759. The next prime is 312857855839. The reversal of 312857855813 is 318558758213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 261941287204 + 50916568609 = 511802^2 + 225647^2 .

It is a cyclic number.

It is not a de Polignac number, because 312857855813 - 212 = 312857851717 is a prime.

It is a Sophie Germain 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 (312857855873) 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, 156428927906 + 156428927907.

It is an arithmetic number, because the mean of its divisors is an integer number (156428927907).

Almost surely, 2312857855813 is an apocalyptic number.

It is an amenable number.

312857855813 is a deficient number, since it is larger than the sum of its proper divisors (1).

312857855813 is an equidigital number, since it uses as much as digits as its factorization.

312857855813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064000, while the sum is 56.

The spelling of 312857855813 in words is "three hundred twelve billion, eight hundred fifty-seven million, eight hundred fifty-five thousand, eight hundred thirteen".