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22121379029 is a prime number
BaseRepresentation
bin10100100110100010…
…010111010011010101
32010002200021111012102
4110212202113103111
5330301033112104
614055025531445
71412121422261
oct244642272325
963080244172
1022121379029
119421a3a532
1243544a3b85
13211703c7b9
1410dbd390a1
15897107a1e
hex5268974d5

22121379029 has 2 divisors, whose sum is σ = 22121379030. Its totient is φ = 22121379028.

The previous prime is 22121378999. The next prime is 22121379041. The reversal of 22121379029 is 92097312122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18769548004 + 3351831025 = 137002^2 + 57895^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22121379029 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 22121378983 and 22121379001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22121379529) 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, 11060689514 + 11060689515.

It is an arithmetic number, because the mean of its divisors is an integer number (11060689515).

Almost surely, 222121379029 is an apocalyptic number.

It is an amenable number.

22121379029 is a deficient number, since it is larger than the sum of its proper divisors (1).

22121379029 is an equidigital number, since it uses as much as digits as its factorization.

22121379029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 22121379029 in words is "twenty-two billion, one hundred twenty-one million, three hundred seventy-nine thousand, twenty-nine".