Search a number
-
+
2002321302349 is a prime number
BaseRepresentation
bin11101001000110011101…
…001100110001101001101
321002102100012210020011011
4131020303221212031031
5230301223223133344
64131504222325221
7264443250151264
oct35106351461515
97072305706134
102002321302349
117021a81a1685
12284091429811
13116a83457664
146ccacca55db
1537141baad34
hex1d233a6634d

2002321302349 has 2 divisors, whose sum is σ = 2002321302350. Its totient is φ = 2002321302348.

The previous prime is 2002321302271. The next prime is 2002321302389. The reversal of 2002321302349 is 9432031232002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1828864046025 + 173457256324 = 1352355^2 + 416482^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002321302349 - 29 = 2002321301837 is a prime.

It is a super-3 number, since 3×20023213023493 (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2002321302349.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002321302389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001160651174 + 1001160651175.

It is an arithmetic number, because the mean of its divisors is an integer number (1001160651175).

Almost surely, 22002321302349 is an apocalyptic number.

It is an amenable number.

2002321302349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002321302349 is an equidigital number, since it uses as much as digits as its factorization.

2002321302349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 31.

The spelling of 2002321302349 in words is "two trillion, two billion, three hundred twenty-one million, three hundred two thousand, three hundred forty-nine".