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222211221212033 is a prime number
BaseRepresentation
bin110010100001100110010100…
…111001111100101110000001
31002010210012000001220201210022
4302201212110321330232001
5213111202040112241113
62104334231544143225
764543142132456414
oct6241462471745601
91063705001821708
10222211221212033
1164892282381019
1220b0a034467b15
1396cb574b23a81
143cc311ac27b7b
151aa5355560908
hexca1994e7cb81

222211221212033 has 2 divisors, whose sum is σ = 222211221212034. Its totient is φ = 222211221212032.

The previous prime is 222211221212011. The next prime is 222211221212041. The reversal of 222211221212033 is 330212122112222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123545381319409 + 98665839892624 = 11115097^2 + 9933068^2 .

It is a cyclic number.

It is not a de Polignac number, because 222211221212033 - 218 = 222211220949889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 222211221211993 and 222211221212011.

It is not a weakly prime, because it can be changed into another prime (222211221212333) 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, 111105610606016 + 111105610606017.

It is an arithmetic number, because the mean of its divisors is an integer number (111105610606017).

Almost surely, 2222211221212033 is an apocalyptic number.

It is an amenable number.

222211221212033 is a deficient number, since it is larger than the sum of its proper divisors (1).

222211221212033 is an equidigital number, since it uses as much as digits as its factorization.

222211221212033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 222211221212033 its reverse (330212122112222), we get a palindrome (552423343324255).

The spelling of 222211221212033 in words is "two hundred twenty-two trillion, two hundred eleven billion, two hundred twenty-one million, two hundred twelve thousand, thirty-three".