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220020200009 is a prime number
BaseRepresentation
bin1100110011101000111…
…0011101001001001001
3210000220120211012221122
43030322032131021021
512101100132400014
6245024220245025
721616206562031
oct3147216351111
9700816735848
10220020200009
1185345737845
12367843a0775
1317994c4a27c
14a912d448c1
155acad8058e
hex333a39d249

220020200009 has 2 divisors, whose sum is σ = 220020200010. Its totient is φ = 220020200008.

The previous prime is 220020199999. The next prime is 220020200033. The reversal of 220020200009 is 900002020022.

It is a happy number.

220020200009 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., 206847588025 + 13172611984 = 454805^2 + 114772^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-220020200009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 220020200009.

It is not a weakly prime, because it can be changed into another prime (220020200069) 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, 110010100004 + 110010100005.

It is an arithmetic number, because the mean of its divisors is an integer number (110010100005).

Almost surely, 2220020200009 is an apocalyptic number.

It is an amenable number.

220020200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

220020200009 is an equidigital number, since it uses as much as digits as its factorization.

220020200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The spelling of 220020200009 in words is "two hundred twenty billion, twenty million, two hundred thousand, nine".