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2205018268393 is a prime number
BaseRepresentation
bin100000000101100101010…
…101001010001011101001
321210210112111212222112211
4200011211111022023221
5242111334134042033
64404545454005121
7315210260014123
oct40054525121351
97723474788484
102205018268393
11780163367336
122b74201a67a1
1312cc1743a315
1478a1b22a213
153c556cb62cd
hex2016554a2e9

2205018268393 has 2 divisors, whose sum is σ = 2205018268394. Its totient is φ = 2205018268392.

The previous prime is 2205018268379. The next prime is 2205018268399. The reversal of 2205018268393 is 3938628105022.

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., 2186692690009 + 18325578384 = 1478747^2 + 135372^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2205018268393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2205018268399) 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, 1102509134196 + 1102509134197.

It is an arithmetic number, because the mean of its divisors is an integer number (1102509134197).

Almost surely, 22205018268393 is an apocalyptic number.

It is an amenable number.

2205018268393 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205018268393 is an equidigital number, since it uses as much as digits as its factorization.

2205018268393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 2205018268393 in words is "two trillion, two hundred five billion, eighteen million, two hundred sixty-eight thousand, three hundred ninety-three".