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2002122200993 is a prime number
BaseRepresentation
bin11101001000100111110…
…010000101011110100001
321002101211100010211102212
4131020213302011132201
5230300321240412433
64131432351051505
7264435311625665
oct35104762053641
97071740124385
102002122200993
11702105872902
12284036810b95
13116a511263c5
146cc906788a5
153712e47cd48
hex1d227c857a1

2002122200993 has 2 divisors, whose sum is σ = 2002122200994. Its totient is φ = 2002122200992.

The previous prime is 2002122200971. The next prime is 2002122201029. The reversal of 2002122200993 is 3990022212002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1957615125904 + 44507075089 = 1399148^2 + 210967^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002122200993 - 226 = 2002055092129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2002122200893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001061100496 + 1001061100497.

It is an arithmetic number, because the mean of its divisors is an integer number (1001061100497).

Almost surely, 22002122200993 is an apocalyptic number.

It is an amenable number.

2002122200993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002122200993 is an equidigital number, since it uses as much as digits as its factorization.

2002122200993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 32.

Adding to 2002122200993 its reverse (3990022212002), we get a palindrome (5992144412995).

The spelling of 2002122200993 in words is "two trillion, two billion, one hundred twenty-two million, two hundred thousand, nine hundred ninety-three".