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2002303313281 is a prime number
BaseRepresentation
bin11101001000110010100…
…100111110010110000001
321002102021221221021210101
4131020302210332112001
5230301204122011111
64131502341002401
7264442641226105
oct35106244762601
97072257837711
102002303313281
11702199025187
122840873b3401
13116a7c7c963b
146ccaa741905
1537140305bc1
hex1d23293e581

2002303313281 has 2 divisors, whose sum is σ = 2002303313282. Its totient is φ = 2002303313280.

The previous prime is 2002303313251. The next prime is 2002303313357. The reversal of 2002303313281 is 1823133032002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1218164727025 + 784138586256 = 1103705^2 + 885516^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002303313281 - 29 = 2002303312769 is a prime.

It is a super-2 number, since 2×20023033132812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2002303313201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001151656640 + 1001151656641.

It is an arithmetic number, because the mean of its divisors is an integer number (1001151656641).

Almost surely, 22002303313281 is an apocalyptic number.

It is an amenable number.

2002303313281 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002303313281 is an equidigital number, since it uses as much as digits as its factorization.

2002303313281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 2002303313281 its reverse (1823133032002), we get a palindrome (3825436345283).

The spelling of 2002303313281 in words is "two trillion, two billion, three hundred three million, three hundred thirteen thousand, two hundred eighty-one".