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2222022220001 is a prime number
BaseRepresentation
bin100000010101011010110…
…110000101100011100001
321212102102112211020001022
4200111122312011203201
5242401200142020001
64420441035415225
7316351532144063
oct40253266054341
97772375736038
102222022220001
11787399684901
122ba7868b4515
131316c71b524c
1479791657733
153cbee9be11b
hex2055ad858e1

2222022220001 has 2 divisors, whose sum is σ = 2222022220002. Its totient is φ = 2222022220000.

The previous prime is 2222022219979. The next prime is 2222022220003. The reversal of 2222022220001 is 1000222202222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2159209830625 + 62812389376 = 1469425^2 + 250624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2222022220001 is a prime.

Together with 2222022220003, 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 (2222022220003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111011110000 + 1111011110001.

It is an arithmetic number, because the mean of its divisors is an integer number (1111011110001).

Almost surely, 22222022220001 is an apocalyptic number.

It is an amenable number.

2222022220001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2222022220001 is an equidigital number, since it uses as much as digits as its factorization.

2222022220001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 2222022220001 its reverse (1000222202222), we get a palindrome (3222244422223).

The spelling of 2222022220001 in words is "two trillion, two hundred twenty-two billion, twenty-two million, two hundred twenty thousand, one".