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1022220001001 is a prime number
BaseRepresentation
bin11101110000000010000…
…11110101111011101001
310121201112021021102121002
432320001003311323221
5113222001310013001
62101333522124345
7133565364434033
oct16700103657351
93551467242532
101022220001001
113645805a5591
121461434b06b5
1375519888824
14376934d4c53
151b8cc35046b
hexee010f5ee9

1022220001001 has 2 divisors, whose sum is σ = 1022220001002. Its totient is φ = 1022220001000.

The previous prime is 1022220000983. The next prime is 1022220001003. The reversal of 1022220001001 is 1001000222201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 992653542400 + 29566458601 = 996320^2 + 171949^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022220001001 - 222 = 1022215806697 is a prime.

Together with 1022220001003, 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 (1022220001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511110000500 + 511110000501.

It is an arithmetic number, because the mean of its divisors is an integer number (511110000501).

Almost surely, 21022220001001 is an apocalyptic number.

It is an amenable number.

1022220001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022220001001 is an equidigital number, since it uses as much as digits as its factorization.

1022220001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022220001001 its reverse (1001000222201), we get a palindrome (2023220223202).

The spelling of 1022220001001 in words is "one trillion, twenty-two billion, two hundred twenty million, one thousand, one".