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22221130121 is a prime number
BaseRepresentation
bin10100101100011110…
…111000100110001001
32010100121222100222022
4110230132320212021
5331002102130441
614112551534225
71414442326631
oct245436704611
963317870868
1022221130121
119473280a53
12438198a375
1321318c6c08
14110b2a36c1
158a0c5d84b
hex52c7b8989

22221130121 has 2 divisors, whose sum is σ = 22221130122. Its totient is φ = 22221130120.

The previous prime is 22221130003. The next prime is 22221130123. The reversal of 22221130121 is 12103112222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15892132096 + 6328998025 = 126064^2 + 79555^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221130121 is a prime.

Together with 22221130123, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22221130121.

It is not a weakly prime, because it can be changed into another prime (22221130123) 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, 11110565060 + 11110565061.

It is an arithmetic number, because the mean of its divisors is an integer number (11110565061).

Almost surely, 222221130121 is an apocalyptic number.

It is an amenable number.

22221130121 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221130121 is an equidigital number, since it uses as much as digits as its factorization.

22221130121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 22221130121 its reverse (12103112222), we get a palindrome (34324242343).

The spelling of 22221130121 in words is "twenty-two billion, two hundred twenty-one million, one hundred thirty thousand, one hundred twenty-one".