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12823595293 is a prime number
BaseRepresentation
bin10111111000101100…
…01000100100011101
31020002200212010200211
423330112020210131
5202230320022133
65520250052421
7632531522125
oct137426104435
936080763624
1012823595293
115490648a43
12259a71a111
131294989412
14899169c85
15500c08bcd
hex2fc58891d

12823595293 has 2 divisors, whose sum is σ = 12823595294. Its totient is φ = 12823595292.

The previous prime is 12823595251. The next prime is 12823595327. The reversal of 12823595293 is 39259532821.

12823595293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11078194009 + 1745401284 = 105253^2 + 41778^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12823595293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12823595203) 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, 6411797646 + 6411797647.

It is an arithmetic number, because the mean of its divisors is an integer number (6411797647).

Almost surely, 212823595293 is an apocalyptic number.

It is an amenable number.

12823595293 is a deficient number, since it is larger than the sum of its proper divisors (1).

12823595293 is an equidigital number, since it uses as much as digits as its factorization.

12823595293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1166400, while the sum is 49.

The spelling of 12823595293 in words is "twelve billion, eight hundred twenty-three million, five hundred ninety-five thousand, two hundred ninety-three".