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2002023321113 is a prime number
BaseRepresentation
bin11101001000100001111…
…000111000111000011001
321002101120110002012202002
4131020201320320320121
5230300120432233423
64131414455450345
7264433001310314
oct35104170707031
97071513065662
102002023321113
11702064a769a2
122840096869b5
13116a367b56ba
146cc8149997b
153712594a228
hex1d221e38e19

2002023321113 has 2 divisors, whose sum is σ = 2002023321114. Its totient is φ = 2002023321112.

The previous prime is 2002023321079. The next prime is 2002023321127. The reversal of 2002023321113 is 3111233202002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1939980980224 + 62042340889 = 1392832^2 + 249083^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002023321113 - 216 = 2002023255577 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002023321713) 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, 1001011660556 + 1001011660557.

It is an arithmetic number, because the mean of its divisors is an integer number (1001011660557).

Almost surely, 22002023321113 is an apocalyptic number.

It is an amenable number.

2002023321113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002023321113 is an equidigital number, since it uses as much as digits as its factorization.

2002023321113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2002023321113 its reverse (3111233202002), we get a palindrome (5113256523115).

The spelling of 2002023321113 in words is "two trillion, two billion, twenty-three million, three hundred twenty-one thousand, one hundred thirteen".