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220122100020209 is a prime number
BaseRepresentation
bin110010000011001100101011…
…100101000011001111110001
31001212101110121121211020212212
4302003030223211003033301
5212322440030101121314
62100054410254501505
764236203561361632
oct6203145345031761
91055343547736785
10220122100020209
11641572929877a2
1220831179b04895
1395a956a85408a
143c4dd7607b889
151a6ad33448e3e
hexc8332b9433f1

220122100020209 has 2 divisors, whose sum is σ = 220122100020210. Its totient is φ = 220122100020208.

The previous prime is 220122100020197. The next prime is 220122100020217. The reversal of 220122100020209 is 902020001221022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 162687346461025 + 57434753559184 = 12754895^2 + 7578572^2 .

It is a cyclic number.

It is not a de Polignac number, because 220122100020209 - 212 = 220122100016113 is a prime.

It is not a weakly prime, because it can be changed into another prime (220122180020209) 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, 110061050010104 + 110061050010105.

It is an arithmetic number, because the mean of its divisors is an integer number (110061050010105).

Almost surely, 2220122100020209 is an apocalyptic number.

It is an amenable number.

220122100020209 is a deficient number, since it is larger than the sum of its proper divisors (1).

220122100020209 is an equidigital number, since it uses as much as digits as its factorization.

220122100020209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 220122100020209 in words is "two hundred twenty trillion, one hundred twenty-two billion, one hundred million, twenty thousand, two hundred nine".