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22212121117 is a prime number
BaseRepresentation
bin10100101011111100…
…100001001000011101
32010100000000122221111
4110223330201020131
5330442300333432
614112030502021
71414302625414
oct245374411035
963300018844
1022212121117
11946918839a
12437a964911
13212ca91444
141109dda47b
158a007e347
hex52bf2121d

22212121117 has 2 divisors, whose sum is σ = 22212121118. Its totient is φ = 22212121116.

The previous prime is 22212121109. The next prime is 22212121121. The reversal of 22212121117 is 71112121222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17928942201 + 4283178916 = 133899^2 + 65446^2 .

It is a cyclic number.

It is not a de Polignac number, because 22212121117 - 23 = 22212121109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22212121717) 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, 11106060558 + 11106060559.

It is an arithmetic number, because the mean of its divisors is an integer number (11106060559).

Almost surely, 222212121117 is an apocalyptic number.

It is an amenable number.

22212121117 is a deficient number, since it is larger than the sum of its proper divisors (1).

22212121117 is an equidigital number, since it uses as much as digits as its factorization.

22212121117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 224, while the sum is 22.

Adding to 22212121117 its reverse (71112121222), we get a palindrome (93324242339).

The spelling of 22212121117 in words is "twenty-two billion, two hundred twelve million, one hundred twenty-one thousand, one hundred seventeen".