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22221102161 is a prime number
BaseRepresentation
bin10100101100011110…
…110001110001010001
32010100121220221121202
4110230132301301101
5331002100232121
614112551200545
71414442152256
oct245436616121
963317827552
1022221102161
119473261a45
124381976155
1321318b727b
14110b29742d
158a0c5540b
hex52c7b1c51

22221102161 has 2 divisors, whose sum is σ = 22221102162. Its totient is φ = 22221102160.

The previous prime is 22221102133. The next prime is 22221102191. The reversal of 22221102161 is 16120112222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18240123136 + 3980979025 = 135056^2 + 63095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22221102161 is a prime.

It is not a weakly prime, because it can be changed into another prime (22221102191) 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, 11110551080 + 11110551081.

It is an arithmetic number, because the mean of its divisors is an integer number (11110551081).

Almost surely, 222221102161 is an apocalyptic number.

It is an amenable number.

22221102161 is a deficient number, since it is larger than the sum of its proper divisors (1).

22221102161 is an equidigital number, since it uses as much as digits as its factorization.

22221102161 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 22221102161 its reverse (16120112222), we get a palindrome (38341214383).

The spelling of 22221102161 in words is "twenty-two billion, two hundred twenty-one million, one hundred two thousand, one hundred sixty-one".