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22112112221 is a prime number
BaseRepresentation
bin10100100101111111…
…000000111001011101
32010002000211200112022
4110211333000321131
5330241200042341
614054055145525
71411646565323
oct244577007135
963060750468
1022112112221
119417790211
1243513752a5
132115146894
1410daa05d13
158963c6e4b
hex525fc0e5d

22112112221 has 2 divisors, whose sum is σ = 22112112222. Its totient is φ = 22112112220.

The previous prime is 22112112193. The next prime is 22112112283. The reversal of 22112112221 is 12221121122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20053675321 + 2058436900 = 141611^2 + 45370^2 .

It is a cyclic number.

It is not a de Polignac number, because 22112112221 - 234 = 4932243037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22112112221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22112114221) 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, 11056056110 + 11056056111.

It is an arithmetic number, because the mean of its divisors is an integer number (11056056111).

Almost surely, 222112112221 is an apocalyptic number.

It is an amenable number.

22112112221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22112112221 is an equidigital number, since it uses as much as digits as its factorization.

22112112221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 64, while the sum is 17.

Adding to 22112112221 its reverse (12221121122), we get a palindrome (34333233343).

The spelling of 22112112221 in words is "twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred twenty-one".