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2205322141013 is a prime number
BaseRepresentation
bin100000000101110111011…
…100010101110101010101
321210211022200200022102022
4200011313130111311111
5242112444432003023
64405035551022525
7315220636623125
oct40056734256525
97724280608368
102205322141013
117802a9946332
122b74a5b0aa45
1312cc653929c4
1478a4972ac85
153c5737dc7c8
hex20177715d55

2205322141013 has 2 divisors, whose sum is σ = 2205322141014. Its totient is φ = 2205322141012.

The previous prime is 2205322140979. The next prime is 2205322141067. The reversal of 2205322141013 is 3101412235022.

2205322141013 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., 1775081911684 + 430240229329 = 1332322^2 + 655927^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205322141013 - 212 = 2205322136917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2205322191013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102661070506 + 1102661070507.

It is an arithmetic number, because the mean of its divisors is an integer number (1102661070507).

Almost surely, 22205322141013 is an apocalyptic number.

It is an amenable number.

2205322141013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205322141013 is an equidigital number, since it uses as much as digits as its factorization.

2205322141013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 2205322141013 its reverse (3101412235022), we get a palindrome (5306734376035).

The spelling of 2205322141013 in words is "two trillion, two hundred five billion, three hundred twenty-two million, one hundred forty-one thousand, thirteen".