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2002220220137 is a prime number
BaseRepresentation
bin11101001000101101100…
…111111111111011101001
321002102002011120201102112
4131020231213333323221
5230301021334021022
64131450212012105
7264440612031044
oct35105547777351
97072064521375
102002220220137
11702156131065
12284063601035
13116a685253b7
146cc9d6b1c5b
1537137d908e2
hex1d22d9ffee9

2002220220137 has 2 divisors, whose sum is σ = 2002220220138. Its totient is φ = 2002220220136.

The previous prime is 2002220220109. The next prime is 2002220220139. The reversal of 2002220220137 is 7310220222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1855577942416 + 146642277721 = 1362196^2 + 382939^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002220220137 - 26 = 2002220220073 is a prime.

Together with 2002220220139, 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 (2002220220139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110110068 + 1001110110069.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110110069).

Almost surely, 22002220220137 is an apocalyptic number.

It is an amenable number.

2002220220137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002220220137 is an equidigital number, since it uses as much as digits as its factorization.

2002220220137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 23.

Adding to 2002220220137 its reverse (7310220222002), we get a palindrome (9312440442139).

The spelling of 2002220220137 in words is "two trillion, two billion, two hundred twenty million, two hundred twenty thousand, one hundred thirty-seven".