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22021210033 is a prime number
BaseRepresentation
bin10100100000100100…
…001111111110110001
32002211200210101011121
4110200210033332301
5330044412210113
614041050542241
71406464124344
oct244044177661
962750711147
1022021210033
119380443039
124326a37981
1320cc36a0c4
1410cc90245b
1588d41ce8d
hex52090ffb1

22021210033 has 2 divisors, whose sum is σ = 22021210034. Its totient is φ = 22021210032.

The previous prime is 22021210031. The next prime is 22021210051. The reversal of 22021210033 is 33001212022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13823175184 + 8198034849 = 117572^2 + 90543^2 .

It is a cyclic number.

It is not a de Polignac number, because 22021210033 - 21 = 22021210031 is a prime.

It is a super-2 number, since 2×220212100332 (a number of 21 digits) contains 22 as substring.

Together with 22021210031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22021209989 and 22021210016.

It is not a weakly prime, because it can be changed into another prime (22021210031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11010605016 + 11010605017.

It is an arithmetic number, because the mean of its divisors is an integer number (11010605017).

Almost surely, 222021210033 is an apocalyptic number.

It is an amenable number.

22021210033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22021210033 is an equidigital number, since it uses as much as digits as its factorization.

22021210033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 22021210033 its reverse (33001212022), we get a palindrome (55022422055).

The spelling of 22021210033 in words is "twenty-two billion, twenty-one million, two hundred ten thousand, thirty-three".