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223022013321329 is a prime number
BaseRepresentation
bin110010101101011001011011…
…111000011001000001110001
31002020122200210120022102120122
4302231121123320121001301
5213212443040402240304
62110154522025020025
764655544252624065
oct6255313370310161
91066580716272518
10223022013321329
1165075117391202
122101b1b1024615
139759b6890a021
143d104745c5aa5
151abb4ab0299be
hexcad65be19071

223022013321329 has 2 divisors, whose sum is σ = 223022013321330. Its totient is φ = 223022013321328.

The previous prime is 223022013321209. The next prime is 223022013321403. The reversal of 223022013321329 is 923123310220322.

223022013321329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210157790112400 + 12864223208929 = 14496820^2 + 3586673^2 .

It is a cyclic number.

It is not a de Polignac number, because 223022013321329 - 220 = 223022012272753 is a prime.

It is not a weakly prime, because it can be changed into another prime (223022013311329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111511006660664 + 111511006660665.

It is an arithmetic number, because the mean of its divisors is an integer number (111511006660665).

Almost surely, 2223022013321329 is an apocalyptic number.

It is an amenable number.

223022013321329 is a deficient number, since it is larger than the sum of its proper divisors (1).

223022013321329 is an equidigital number, since it uses as much as digits as its factorization.

223022013321329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 223022013321329 in words is "two hundred twenty-three trillion, twenty-two billion, thirteen million, three hundred twenty-one thousand, three hundred twenty-nine".