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223021333221133 is a prime number
BaseRepresentation
bin110010101101011000110011…
…010110000000111100001101
31002020122122001011120202111111
4302231120303112000330031
5213212440142301034013
62110154330332052021
764655521354103506
oct6255306326007415
91066578034522444
10223021333221133
11650748a84a3927
122101b041304011
139759a8aa47585
143d1040c14bbad
151abb46b48873d
hexcad633580f0d

223021333221133 has 2 divisors, whose sum is σ = 223021333221134. Its totient is φ = 223021333221132.

The previous prime is 223021333221103. The next prime is 223021333221173. The reversal of 223021333221133 is 331122333120322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 165698218353924 + 57323114867209 = 12872382^2 + 7571203^2 .

It is a cyclic number.

It is not a de Polignac number, because 223021333221133 - 229 = 223020796350221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223021333221095 and 223021333221104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223021333221103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111510666610566 + 111510666610567.

It is an arithmetic number, because the mean of its divisors is an integer number (111510666610567).

Almost surely, 2223021333221133 is an apocalyptic number.

It is an amenable number.

223021333221133 is a deficient number, since it is larger than the sum of its proper divisors (1).

223021333221133 is an equidigital number, since it uses as much as digits as its factorization.

223021333221133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 223021333221133 its reverse (331122333120322), we get a palindrome (554143666341455).

The spelling of 223021333221133 in words is "two hundred twenty-three trillion, twenty-one billion, three hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-three".