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12822311473 is a prime number
BaseRepresentation
bin10111111000100010…
…01111001000110001
31020002121102220121221
423330101033020301
5202230002431343
65520202345041
7632514564166
oct137421171061
936077386557
1012822311473
11548a951434
12259a1bb181
131294629c6a
14898d1406d
15500a535ed
hex2fc44f231

12822311473 has 2 divisors, whose sum is σ = 12822311474. Its totient is φ = 12822311472.

The previous prime is 12822311413. The next prime is 12822311503. The reversal of 12822311473 is 37411322821.

12822311473 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., 12411519649 + 410791824 = 111407^2 + 20268^2 .

It is a cyclic number.

It is not a de Polignac number, because 12822311473 - 217 = 12822180401 is a prime.

It is not a weakly prime, because it can be changed into another prime (12822311413) 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, 6411155736 + 6411155737.

It is an arithmetic number, because the mean of its divisors is an integer number (6411155737).

Almost surely, 212822311473 is an apocalyptic number.

It is an amenable number.

12822311473 is a deficient number, since it is larger than the sum of its proper divisors (1).

12822311473 is an equidigital number, since it uses as much as digits as its factorization.

12822311473 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16128, while the sum is 34.

The spelling of 12822311473 in words is "twelve billion, eight hundred twenty-two million, three hundred eleven thousand, four hundred seventy-three".