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2010202013 is a prime number
BaseRepresentation
bin111011111010001…
…0011111110011101
312012002112211202102
41313310103332131
513104102431023
6531245334445
7100546302161
oct16764237635
95162484672
102010202013
11941785586
12481267425
13260609b61
14150d92ca1
15bb72a628
hex77d13f9d

2010202013 has 2 divisors, whose sum is σ = 2010202014. Its totient is φ = 2010202012.

The previous prime is 2010201989. The next prime is 2010202021. The reversal of 2010202013 is 3102020102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1495910329 + 514291684 = 38677^2 + 22678^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2010202013 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 = 2010201985 and 2010202003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2010202913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1005101006 + 1005101007.

It is an arithmetic number, because the mean of its divisors is an integer number (1005101007).

Almost surely, 22010202013 is an apocalyptic number.

It is an amenable number.

2010202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2010202013 is an equidigital number, since it uses as much as digits as its factorization.

2010202013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 2010202013 is about 44835.2764349680. The cubic root of 2010202013 is about 1262.0597060618.

Adding to 2010202013 its reverse (3102020102), we get a palindrome (5112222115).

The spelling of 2010202013 in words is "two billion, ten million, two hundred two thousand, thirteen".