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2246982310193 is a prime number
BaseRepresentation
bin100000101100101010100…
…101010001100100110001
321221210212001122011220012
4200230222211101210301
5243303304432411233
64440125513024305
7321224213334245
oct40545245214461
97853761564805
102246982310193
11796a37a32015
123035919b5095
13133b74386c9a
147aa7c5b2425
153d6b0e0b548
hex20b2a951931

2246982310193 has 2 divisors, whose sum is σ = 2246982310194. Its totient is φ = 2246982310192.

The previous prime is 2246982310151. The next prime is 2246982310229. The reversal of 2246982310193 is 3910132896422.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1882803855409 + 364178454784 = 1372153^2 + 603472^2 .

It is a cyclic number.

It is not a de Polignac number, because 2246982310193 - 28 = 2246982309937 is a prime.

It is not a weakly prime, because it can be changed into another prime (2246982310393) 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, 1123491155096 + 1123491155097.

It is an arithmetic number, because the mean of its divisors is an integer number (1123491155097).

Almost surely, 22246982310193 is an apocalyptic number.

It is an amenable number.

2246982310193 is a deficient number, since it is larger than the sum of its proper divisors (1).

2246982310193 is an equidigital number, since it uses as much as digits as its factorization.

2246982310193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 50.

The spelling of 2246982310193 in words is "two trillion, two hundred forty-six billion, nine hundred eighty-two million, three hundred ten thousand, one hundred ninety-three".