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220022123309 is a prime number
BaseRepresentation
bin1100110011101001010…
…1110010101100101101
3210000220201102221012222
43030322111302230231
512101101130421214
6245024325405125
721616232122232
oct3147225625455
9700821387188
10220022123309
118534683084a
1236784b697a5
1317995471811
14a9132c5789
155acb11038e
hex333a572b2d

220022123309 has 2 divisors, whose sum is σ = 220022123310. Its totient is φ = 220022123308.

The previous prime is 220022123281. The next prime is 220022123311. The reversal of 220022123309 is 903321220022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 163744050409 + 56278072900 = 404653^2 + 237230^2 .

It is a cyclic number.

It is not a de Polignac number, because 220022123309 - 28 = 220022123053 is a prime.

It is a super-2 number, since 2×2200221233092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 220022123311, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (220022123369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110011061654 + 110011061655.

It is an arithmetic number, because the mean of its divisors is an integer number (110011061655).

Almost surely, 2220022123309 is an apocalyptic number.

It is an amenable number.

220022123309 is a deficient number, since it is larger than the sum of its proper divisors (1).

220022123309 is an equidigital number, since it uses as much as digits as its factorization.

220022123309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 26.

The spelling of 220022123309 in words is "two hundred twenty billion, twenty-two million, one hundred twenty-three thousand, three hundred nine".