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22114313101 is a prime number
BaseRepresentation
bin10100100110000111…
…011010001110001101
32010002011222111120101
4110212013122032031
5330242231004401
614054214251101
71412004363016
oct244607321615
963064874511
1022114313101
119418a53821
124352056a91
13211573758a
1410db01a00d
158966ae101
hex5261da38d

22114313101 has 2 divisors, whose sum is σ = 22114313102. Its totient is φ = 22114313100.

The previous prime is 22114313071. The next prime is 22114313189. The reversal of 22114313101 is 10131341122.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21579316201 + 534996900 = 146899^2 + 23130^2 .

It is a cyclic number.

It is not a de Polignac number, because 22114313101 - 27 = 22114312973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22114313191) 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, 11057156550 + 11057156551.

It is an arithmetic number, because the mean of its divisors is an integer number (11057156551).

Almost surely, 222114313101 is an apocalyptic number.

It is an amenable number.

22114313101 is a deficient number, since it is larger than the sum of its proper divisors (1).

22114313101 is an equidigital number, since it uses as much as digits as its factorization.

22114313101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 22114313101 its reverse (10131341122), we get a palindrome (32245654223).

The spelling of 22114313101 in words is "twenty-two billion, one hundred fourteen million, three hundred thirteen thousand, one hundred one".