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2200021010009 is a prime number
BaseRepresentation
bin100000000000111011011…
…110001000011001011001
321210022122020122221202222
4200000323132020121121
5242021120334310014
64402401541233425
7314642400015524
oct40007336103131
97708566587688
102200021010009
11779029562129
122b6466702875
1312c5cc02b5b4
14786a567dbbb
153c36320208e
hex2003b788659

2200021010009 has 2 divisors, whose sum is σ = 2200021010010. Its totient is φ = 2200021010008.

The previous prime is 2200021009951. The next prime is 2200021010207. The reversal of 2200021010009 is 9000101200022.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1940858563609 + 259162446400 = 1393147^2 + 509080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2200021010009 is a prime.

It is not a weakly prime, because it can be changed into another prime (2200021010809) 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, 1100010505004 + 1100010505005.

It is an arithmetic number, because the mean of its divisors is an integer number (1100010505005).

Almost surely, 22200021010009 is an apocalyptic number.

It is an amenable number.

2200021010009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200021010009 is an equidigital number, since it uses as much as digits as its factorization.

2200021010009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The spelling of 2200021010009 in words is "two trillion, two hundred billion, twenty-one million, ten thousand, nine".