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2222133242213 is a prime number
BaseRepresentation
bin100000010101100001011…
…101100110100101100101
321212102201021201201220002
4200111201131212211211
5242401412102222323
64420500043151045
7316354350624023
oct40254135464545
97772637651802
102222133242213
117874463144a5
122ba7b7b15485
131317141b7971
14797a22b7713
153cc095ee828
hex20561766965

2222133242213 has 2 divisors, whose sum is σ = 2222133242214. Its totient is φ = 2222133242212.

The previous prime is 2222133242183. The next prime is 2222133242233. The reversal of 2222133242213 is 3122423312222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1385041826884 + 837091415329 = 1176878^2 + 914927^2 .

It is a cyclic number.

It is not a de Polignac number, because 2222133242213 - 210 = 2222133241189 is a prime.

It is a super-2 number, since 2×22221332422132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2222133242233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111066621106 + 1111066621107.

It is an arithmetic number, because the mean of its divisors is an integer number (1111066621107).

Almost surely, 22222133242213 is an apocalyptic number.

It is an amenable number.

2222133242213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222133242213 is an equidigital number, since it uses as much as digits as its factorization.

2222133242213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 29.

Adding to 2222133242213 its reverse (3122423312222), we get a palindrome (5344556554435).

The spelling of 2222133242213 in words is "two trillion, two hundred twenty-two billion, one hundred thirty-three million, two hundred forty-two thousand, two hundred thirteen".