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12642041033 is a prime number
BaseRepresentation
bin10111100011000011…
…00011110011001001
31012122001020020001222
423301201203303021
5201342330303113
65450242451425
7625165401326
oct136141436311
935561206058
1012642041033
1153a81145a6
122549963b75
13126618cc6b
1487cdc9b4d
154dece4e08
hex2f1863cc9

12642041033 has 2 divisors, whose sum is σ = 12642041034. Its totient is φ = 12642041032.

The previous prime is 12642041029. The next prime is 12642041063. The reversal of 12642041033 is 33014024621.

12642041033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12559012489 + 83028544 = 112067^2 + 9112^2 .

It is a cyclic number.

It is not a de Polignac number, because 12642041033 - 22 = 12642041029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12642040993 and 12642041011.

It is not a weakly prime, because it can be changed into another prime (12642041063) 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, 6321020516 + 6321020517.

It is an arithmetic number, because the mean of its divisors is an integer number (6321020517).

Almost surely, 212642041033 is an apocalyptic number.

It is an amenable number.

12642041033 is a deficient number, since it is larger than the sum of its proper divisors (1).

12642041033 is an equidigital number, since it uses as much as digits as its factorization.

12642041033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 12642041033 its reverse (33014024621), we get a palindrome (45656065654).

The spelling of 12642041033 in words is "twelve billion, six hundred forty-two million, forty-one thousand, thirty-three".