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22211122033 is a prime number
BaseRepresentation
bin10100101011111000…
…101101001101110001
32010022221010220110101
4110223320231031301
5330442021401113
614111553232401
71414261264552
oct245370551561
963287126411
1022211122033
119468665801
12437a562701
13212c801779
141109c1a329
1589ee332dd
hex52be2d371

22211122033 has 2 divisors, whose sum is σ = 22211122034. Its totient is φ = 22211122032.

The previous prime is 22211122019. The next prime is 22211122049. The reversal of 22211122033 is 33022111222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21934498609 + 276623424 = 148103^2 + 16632^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22211122033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22211122033.

It is not a weakly prime, because it can be changed into another prime (22211122133) 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, 11105561016 + 11105561017.

It is an arithmetic number, because the mean of its divisors is an integer number (11105561017).

Almost surely, 222211122033 is an apocalyptic number.

It is an amenable number.

22211122033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22211122033 is an equidigital number, since it uses as much as digits as its factorization.

22211122033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22211122033 its reverse (33022111222), we get a palindrome (55233233255).

The spelling of 22211122033 in words is "twenty-two billion, two hundred eleven million, one hundred twenty-two thousand, thirty-three".