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42312233221249 is a prime number
BaseRepresentation
bin10011001111011100101011…
…01000010111110010000001
312112211000021021122220210011
421213232111220113302001
521021220423201034444
6225553545510504521
711624646404121265
oct1147562550276201
9175730237586704
1042312233221249
1112533576637362
1248b4489365141
131a7c04620b794
14a63ccca780a5
154d5989346734
hex267b95a17c81

42312233221249 has 2 divisors, whose sum is σ = 42312233221250. Its totient is φ = 42312233221248.

The previous prime is 42312233221231. The next prime is 42312233221327. The reversal of 42312233221249 is 94212233221324.

42312233221249 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., 25150626201600 + 17161607019649 = 5015040^2 + 4142657^2 .

It is a cyclic number.

It is not a de Polignac number, because 42312233221249 - 223 = 42312224832641 is a prime.

It is not a weakly prime, because it can be changed into another prime (42312233228249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21156116610624 + 21156116610625.

It is an arithmetic number, because the mean of its divisors is an integer number (21156116610625).

Almost surely, 242312233221249 is an apocalyptic number.

It is an amenable number.

42312233221249 is a deficient number, since it is larger than the sum of its proper divisors (1).

42312233221249 is an equidigital number, since it uses as much as digits as its factorization.

42312233221249 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 248832, while the sum is 40.

The spelling of 42312233221249 in words is "forty-two trillion, three hundred twelve billion, two hundred thirty-three million, two hundred twenty-one thousand, two hundred forty-nine".