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2293242048089 is a prime number
BaseRepresentation
bin100001010111101111111…
…000001010111001011001
322010020020222111100110222
4201113233320022321121
5300033024431014324
64513300103445425
7324452450533616
oct41275770127131
98106228440428
102293242048089
11804616395863
12310542156875
13138337277165
147cdca28150d
153e9bc23555e
hex215efe0ae59

2293242048089 has 2 divisors, whose sum is σ = 2293242048090. Its totient is φ = 2293242048088.

The previous prime is 2293242047947. The next prime is 2293242048091. The reversal of 2293242048089 is 9808402423922.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2038098864400 + 255143183689 = 1427620^2 + 505117^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2293242048089 is a prime.

It is a super-2 number, since 2×22932420480892 (a number of 26 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 2293242048091, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2293242048089.

It is not a weakly prime, because it can be changed into another prime (2293242078089) 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, 1146621024044 + 1146621024045.

It is an arithmetic number, because the mean of its divisors is an integer number (1146621024045).

Almost surely, 22293242048089 is an apocalyptic number.

It is an amenable number.

2293242048089 is a deficient number, since it is larger than the sum of its proper divisors (1).

2293242048089 is an equidigital number, since it uses as much as digits as its factorization.

2293242048089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3981312, while the sum is 53.

The spelling of 2293242048089 in words is "two trillion, two hundred ninety-three billion, two hundred forty-two million, forty-eight thousand, eighty-nine".