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220002221101109 is a prime number
BaseRepresentation
bin110010000001011101000010…
…001111010001000000110101
31001211222000012001111012011012
4302001131002033101000311
5212314004022100213414
62055523343005322005
764224431062362026
oct6201350217210065
91054860161435135
10220002221101109
1164110466402537
1220811aa2866305
13959b174781915
143c48242c52c4d
151a67b68e0e33e
hexc817423d1035

220002221101109 has 2 divisors, whose sum is σ = 220002221101110. Its totient is φ = 220002221101108.

The previous prime is 220002221101031. The next prime is 220002221101127. The reversal of 220002221101109 is 901101122200022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 212519687583025 + 7482533518084 = 14578055^2 + 2735422^2 .

It is a cyclic number.

It is not a de Polignac number, because 220002221101109 - 224 = 220002204323893 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220002221101009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110001110550554 + 110001110550555.

It is an arithmetic number, because the mean of its divisors is an integer number (110001110550555).

Almost surely, 2220002221101109 is an apocalyptic number.

It is an amenable number.

220002221101109 is a deficient number, since it is larger than the sum of its proper divisors (1).

220002221101109 is an equidigital number, since it uses as much as digits as its factorization.

220002221101109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 220002221101109 in words is "two hundred twenty trillion, two billion, two hundred twenty-one million, one hundred one thousand, one hundred nine".