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200211022100017 is a prime number
BaseRepresentation
bin101101100001011101000010…
…110110100011011000110001
3222020212222122100221102211101
4231201131002312203120301
5202220224133124200032
61545451401313244401
760112524524501065
oct5541350266433061
9866788570842741
10200211022100017
1158880021537415
121a5562a2263701
138793a83c72916
14376239d8c9aa5
151822e34ebade7
hexb61742da3631

200211022100017 has 2 divisors, whose sum is σ = 200211022100018. Its totient is φ = 200211022100016.

The previous prime is 200211022099967. The next prime is 200211022100129. The reversal of 200211022100017 is 710001220112002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181457306830881 + 18753715269136 = 13470609^2 + 4330556^2 .

It is a cyclic number.

It is not a de Polignac number, because 200211022100017 - 211 = 200211022097969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200211022099967 and 200211022100003.

It is not a weakly prime, because it can be changed into another prime (200211022100917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100105511050008 + 100105511050009.

It is an arithmetic number, because the mean of its divisors is an integer number (100105511050009).

Almost surely, 2200211022100017 is an apocalyptic number.

It is an amenable number.

200211022100017 is a deficient number, since it is larger than the sum of its proper divisors (1).

200211022100017 is an equidigital number, since it uses as much as digits as its factorization.

200211022100017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 200211022100017 its reverse (710001220112002), we get a palindrome (910212242212019).

The spelling of 200211022100017 in words is "two hundred trillion, two hundred eleven billion, twenty-two million, one hundred thousand, seventeen".