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2002402002229 is a prime number
BaseRepresentation
bin11101001000111000011…
…101011100010100110101
321002102112211122012120121
4131020320131130110311
5230301404403032404
64131520224131541
7264445250121016
oct35107035342465
97072484565517
102002402002229
117022398006a2
122840b4466bb1
13116a970a1475
146ccb98b100d
1537148cebe54
hex1d23875c535

2002402002229 has 2 divisors, whose sum is σ = 2002402002230. Its totient is φ = 2002402002228.

The previous prime is 2002402002199. The next prime is 2002402002253. The reversal of 2002402002229 is 9222002042002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1943096602500 + 59305399729 = 1393950^2 + 243527^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002402002229 - 225 = 2002368447797 is a prime.

It is a super-2 number, since 2×20024020022292 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002402002269) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001201001114 + 1001201001115.

It is an arithmetic number, because the mean of its divisors is an integer number (1001201001115).

Almost surely, 22002402002229 is an apocalyptic number.

It is an amenable number.

2002402002229 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002402002229 is an equidigital number, since it uses as much as digits as its factorization.

2002402002229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 2002402002229 in words is "two trillion, two billion, four hundred two million, two thousand, two hundred twenty-nine".