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22012122161 is a prime number
BaseRepresentation
bin10100100000000001…
…100101010000110001
32002211001200122221202
4110200001211100301
5330040100402121
614040124100545
71406323644161
oct244001452061
962731618852
1022012122161
1193762a61a7
124323994755
1320ca507773
1410cb6185a1
1588c72540b
hex520065431

22012122161 has 2 divisors, whose sum is σ = 22012122162. Its totient is φ = 22012122160.

The previous prime is 22012122157. The next prime is 22012122163. The reversal of 22012122161 is 16122121022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18375429136 + 3636693025 = 135556^2 + 60305^2 .

It is a cyclic number.

It is not a de Polignac number, because 22012122161 - 22 = 22012122157 is a prime.

Together with 22012122163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (22012122163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11006061080 + 11006061081.

It is an arithmetic number, because the mean of its divisors is an integer number (11006061081).

Almost surely, 222012122161 is an apocalyptic number.

It is an amenable number.

22012122161 is a deficient number, since it is larger than the sum of its proper divisors (1).

22012122161 is an equidigital number, since it uses as much as digits as its factorization.

22012122161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22012122161 its reverse (16122121022), we get a palindrome (38134243183).

The spelling of 22012122161 in words is "twenty-two billion, twelve million, one hundred twenty-two thousand, one hundred sixty-one".