Search a number
-
+
22102122209 is a prime number
BaseRepresentation
bin10100100101011000…
…111001111011100001
32010001100001010210212
4110211120321323201
5330231120402314
614053101103505
71411465640036
oct244530717341
963040033725
1022102122209
119412087602
124349b57b95
13211305972b
1410d956538d
158955a1e3e
hex525639ee1

22102122209 has 2 divisors, whose sum is σ = 22102122210. Its totient is φ = 22102122208.

The previous prime is 22102122157. The next prime is 22102122223. The reversal of 22102122209 is 90222120122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19115827600 + 2986294609 = 138260^2 + 54647^2 .

It is a cyclic number.

It is not a de Polignac number, because 22102122209 - 232 = 17807154913 is a prime.

It is a super-2 number, since 2×221021222092 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (22102122239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11051061104 + 11051061105.

It is an arithmetic number, because the mean of its divisors is an integer number (11051061105).

Almost surely, 222102122209 is an apocalyptic number.

It is an amenable number.

22102122209 is a deficient number, since it is larger than the sum of its proper divisors (1).

22102122209 is an equidigital number, since it uses as much as digits as its factorization.

22102122209 is an evil number, because the sum of its binary digits is even.

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

The spelling of 22102122209 in words is "twenty-two billion, one hundred two million, one hundred twenty-two thousand, two hundred nine".