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200202121121993 is a prime number
BaseRepresentation
bin101101100001010100110000…
…010100000001000011001001
3222020212010200001011220102122
4231201110300110001003021
5202220102421001400433
61545443330150341025
760112061123436614
oct5541246024010311
9866763601156378
10200202121121993
1158877274129931
121a55461935a775
138792c95b82c13
143761b976cd17b
151822ab384e198
hexb615305010c9

200202121121993 has 2 divisors, whose sum is σ = 200202121121994. Its totient is φ = 200202121121992.

The previous prime is 200202121121953. The next prime is 200202121122019. The reversal of 200202121121993 is 399121121202002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 156763120578064 + 43439000543929 = 12520508^2 + 6590827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200202121121993 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 (200202121121953) 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, 100101060560996 + 100101060560997.

It is an arithmetic number, because the mean of its divisors is an integer number (100101060560997).

Almost surely, 2200202121121993 is an apocalyptic number.

It is an amenable number.

200202121121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

200202121121993 is an equidigital number, since it uses as much as digits as its factorization.

200202121121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 35.

Adding to 200202121121993 its reverse (399121121202002), we get a palindrome (599323242323995).

The spelling of 200202121121993 in words is "two hundred trillion, two hundred two billion, one hundred twenty-one million, one hundred twenty-one thousand, nine hundred ninety-three".