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220010222009 is a prime number
BaseRepresentation
bin1100110011100110100…
…0011001000110111001
3210000212220001021201002
43030321220121012321
512101040104101014
6245023222334345
721616026013454
oct3147150310671
9700786037632
10220010222009
1185340042166
1236780b8a3b5
1317992b65726
14a9118a849b
155aca05ddde
hex3339a191b9

220010222009 has 2 divisors, whose sum is σ = 220010222010. Its totient is φ = 220010222008.

The previous prime is 220010221997. The next prime is 220010222023. The reversal of 220010222009 is 900222010022.

220010222009 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., 219885966400 + 124255609 = 468920^2 + 11147^2 .

It is a cyclic number.

It is not a de Polignac number, because 220010222009 - 224 = 219993444793 is a prime.

It is not a weakly prime, because it can be changed into another prime (220010222309) 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, 110005111004 + 110005111005.

It is an arithmetic number, because the mean of its divisors is an integer number (110005111005).

Almost surely, 2220010222009 is an apocalyptic number.

It is an amenable number.

220010222009 is a deficient number, since it is larger than the sum of its proper divisors (1).

220010222009 is an equidigital number, since it uses as much as digits as its factorization.

220010222009 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 20.

The spelling of 220010222009 in words is "two hundred twenty billion, ten million, two hundred twenty-two thousand, nine".