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2200022002001 is a prime number
BaseRepresentation
bin100000000000111011100…
…001111010100101010001
321210022122022112100112102
4200000323201322211101
5242021121113031001
64402402014410145
7314642411316605
oct40007341724521
97708568470472
102200022002001
1177902a07a45a
122b6466b00955
1312c5cc2b7c85
14786a585b505
153c36334ae6b
hex2003b87a951

2200022002001 has 2 divisors, whose sum is σ = 2200022002002. Its totient is φ = 2200022002000.

The previous prime is 2200022001943. The next prime is 2200022002019. The reversal of 2200022002001 is 1002002200022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2020517259601 + 179504742400 = 1421449^2 + 423680^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200022002001 - 222 = 2200017807697 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200022002501) 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, 1100011001000 + 1100011001001.

It is an arithmetic number, because the mean of its divisors is an integer number (1100011001001).

Almost surely, 22200022002001 is an apocalyptic number.

It is an amenable number.

2200022002001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200022002001 is an equidigital number, since it uses as much as digits as its factorization.

2200022002001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2200022002001 its reverse (1002002200022), we get a palindrome (3202024202023).

The spelling of 2200022002001 in words is "two trillion, two hundred billion, twenty-two million, two thousand, one".