Search a number
-
+
222131122121 is a prime number
BaseRepresentation
bin1100111011100000001…
…0111110111111001001
3210020100200220011201002
43032320002332333021
512114411031401441
6250013504504345
722022421245636
oct3167002767711
9706320804632
10222131122121
1186229255877
123707331b0b5
1317c403905cc
14aa7343518d
155ba1353b9b
hex33b80befc9

222131122121 has 2 divisors, whose sum is σ = 222131122122. Its totient is φ = 222131122120.

The previous prime is 222131122099. The next prime is 222131122123. The reversal of 222131122121 is 121221131222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149487396496 + 72643725625 = 386636^2 + 269525^2 .

It is a cyclic number.

It is not a de Polignac number, because 222131122121 - 226 = 222064013257 is a prime.

It is a Sophie Germain prime.

Together with 222131122123, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222131122093 and 222131122102.

It is not a weakly prime, because it can be changed into another prime (222131122123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111065561060 + 111065561061.

It is an arithmetic number, because the mean of its divisors is an integer number (111065561061).

Almost surely, 2222131122121 is an apocalyptic number.

It is an amenable number.

222131122121 is a deficient number, since it is larger than the sum of its proper divisors (1).

222131122121 is an equidigital number, since it uses as much as digits as its factorization.

222131122121 is an evil number, because the sum of its binary digits is even.

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

Adding to 222131122121 its reverse (121221131222), we get a palindrome (343352253343).

The spelling of 222131122121 in words is "two hundred twenty-two billion, one hundred thirty-one million, one hundred twenty-two thousand, one hundred twenty-one".