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2002401212321 is a prime number
BaseRepresentation
bin11101001000111000011…
…010011011011110100001
321002102112210011002000202
4131020320122123132201
5230301404202243241
64131520155154545
7264445240321046
oct35107032333641
97072483132022
102002401212321
11702239311184
122840b4145a55
13116a96b85a73
146ccb97471cd
1537148be2d9b
hex1d23869b7a1

2002401212321 has 2 divisors, whose sum is σ = 2002401212322. Its totient is φ = 2002401212320.

The previous prime is 2002401212303. The next prime is 2002401212351. The reversal of 2002401212321 is 1232121042002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1911582760000 + 90818452321 = 1382600^2 + 301361^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002401212321 - 26 = 2002401212257 is a prime.

It is a super-2 number, since 2×20024012123212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002401212293 and 2002401212302.

It is not a weakly prime, because it can be changed into another prime (2002401212351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001200606160 + 1001200606161.

It is an arithmetic number, because the mean of its divisors is an integer number (1001200606161).

Almost surely, 22002401212321 is an apocalyptic number.

It is an amenable number.

2002401212321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002401212321 is an equidigital number, since it uses as much as digits as its factorization.

2002401212321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2002401212321 its reverse (1232121042002), we get a palindrome (3234522254323).

The spelling of 2002401212321 in words is "two trillion, two billion, four hundred one million, two hundred twelve thousand, three hundred twenty-one".