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2002210013 is a prime number
BaseRepresentation
bin111011101010111…
…0100110011011101
312011112111210210102
41313111310303131
513100031210023
6530402150445
7100421334656
oct16725646335
95145453712
102002210013
11938217021
1247a652425
1325ba6c26b
1414dcb252d
15bab9c628
hex77574cdd

2002210013 has 2 divisors, whose sum is σ = 2002210014. Its totient is φ = 2002210012.

The previous prime is 2002210009. The next prime is 2002210039. The reversal of 2002210013 is 3100122002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1321104409 + 681105604 = 36347^2 + 26098^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002210013 - 22 = 2002210009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2002209976 and 2002210003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002210313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001105006 + 1001105007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001105007).

Almost surely, 22002210013 is an apocalyptic number.

It is an amenable number.

2002210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002210013 is an equidigital number, since it uses as much as digits as its factorization.

2002210013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2002210013 is about 44746.0614244427. The cubic root of 2002210013 is about 1260.3849527148.

Adding to 2002210013 its reverse (3100122002), we get a palindrome (5102332015).

The spelling of 2002210013 in words is "two billion, two million, two hundred ten thousand, thirteen".