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22412114141 is a prime number
BaseRepresentation
bin10100110111110111…
…011011100011011101
32010211221100100210112
4110313313123203131
5331400000123031
614143533215405
71422251553434
oct246767334335
963757310715
1022412114141
11956106608a
124415931565
132162345501
1411287ba11b
158b28d662b
hex537ddb8dd

22412114141 has 2 divisors, whose sum is σ = 22412114142. Its totient is φ = 22412114140.

The previous prime is 22412114063. The next prime is 22412114143. The reversal of 22412114141 is 14141121422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11674802500 + 10737311641 = 108050^2 + 103621^2 .

It is a cyclic number.

It is not a de Polignac number, because 22412114141 - 222 = 22407919837 is a prime.

Together with 22412114143, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22412114143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11206057070 + 11206057071.

It is an arithmetic number, because the mean of its divisors is an integer number (11206057071).

Almost surely, 222412114141 is an apocalyptic number.

It is an amenable number.

22412114141 is a deficient number, since it is larger than the sum of its proper divisors (1).

22412114141 is an equidigital number, since it uses as much as digits as its factorization.

22412114141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 512, while the sum is 23.

Adding to 22412114141 its reverse (14141121422), we get a palindrome (36553235563).

The spelling of 22412114141 in words is "twenty-two billion, four hundred twelve million, one hundred fourteen thousand, one hundred forty-one".