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2002332111181 is a prime number
BaseRepresentation
bin11101001000110100010…
…010110101000101001101
321002102100222010101002021
4131020310102311011031
5230301234010024211
64131505250130141
7264443441060023
oct35106422650515
97072328111067
102002332111181
117022033044a6
12284094b80951
13116a8577040c
146ccb04ba713
1537142ae3771
hex1d2344b514d

2002332111181 has 2 divisors, whose sum is σ = 2002332111182. Its totient is φ = 2002332111180.

The previous prime is 2002332111179. The next prime is 2002332111211. The reversal of 2002332111181 is 1811112332002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1563147567081 + 439184544100 = 1250259^2 + 662710^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002332111181 - 21 = 2002332111179 is a prime.

It is a super-3 number, since 3×20023321111813 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 2002332111179, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002332111121) 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, 1001166055590 + 1001166055591.

It is an arithmetic number, because the mean of its divisors is an integer number (1001166055591).

Almost surely, 22002332111181 is an apocalyptic number.

It is an amenable number.

2002332111181 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002332111181 is an equidigital number, since it uses as much as digits as its factorization.

2002332111181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 2002332111181 its reverse (1811112332002), we get a palindrome (3813444443183).

The spelling of 2002332111181 in words is "two trillion, two billion, three hundred thirty-two million, one hundred eleven thousand, one hundred eighty-one".