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21222312022033 is a prime number
BaseRepresentation
bin1001101001101001101000…
…10111101001000000010001
32210010211111102011202212121
410310310310113221000101
510240201243334201113
6113045221234454241
74320155450543563
oct464646427510021
983124442152777
1021222312022033
116842371965561
122469039434381
13bac34226a535
14535245b49333
1526c093785e8d
hex134d345e9011

21222312022033 has 2 divisors, whose sum is σ = 21222312022034. Its totient is φ = 21222312022032.

The previous prime is 21222312022019. The next prime is 21222312022049. The reversal of 21222312022033 is 33022021322212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19065693479184 + 2156618542849 = 4366428^2 + 1468543^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21222312022033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21222312021989 and 21222312022007.

It is not a weakly prime, because it can be changed into another prime (21222312722033) 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, 10611156011016 + 10611156011017.

It is an arithmetic number, because the mean of its divisors is an integer number (10611156011017).

Almost surely, 221222312022033 is an apocalyptic number.

It is an amenable number.

21222312022033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222312022033 is an equidigital number, since it uses as much as digits as its factorization.

21222312022033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 21222312022033 its reverse (33022021322212), we get a palindrome (54244333344245).

The spelling of 21222312022033 in words is "twenty-one trillion, two hundred twenty-two billion, three hundred twelve million, twenty-two thousand, thirty-three".