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2032110013 is a prime number
BaseRepresentation
bin111100100011111…
…1000100110111101
312020121202212212211
41321013320212331
513130210010023
6533351100421
7101233435663
oct17107704675
95217685784
102032110013
1195308936a
12488671711
1326500a87b
14153c56c33
15bd606a0d
hex791f89bd

2032110013 has 2 divisors, whose sum is σ = 2032110014. Its totient is φ = 2032110012.

The previous prime is 2032109993. The next prime is 2032110049. The reversal of 2032110013 is 3100112302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1980873049 + 51236964 = 44507^2 + 7158^2 .

It is a cyclic number.

It is not a de Polignac number, because 2032110013 - 213 = 2032101821 is a prime.

It is a super-2 number, since 2×20321100132 = 8258942209869720338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2032109975 and 2032110002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2032170013) 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, 1016055006 + 1016055007.

It is an arithmetic number, because the mean of its divisors is an integer number (1016055007).

Almost surely, 22032110013 is an apocalyptic number.

It is an amenable number.

2032110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2032110013 is an equidigital number, since it uses as much as digits as its factorization.

2032110013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2032110013 is about 45078.9309212186. The cubic root of 2032110013 is about 1266.6279639683.

Adding to 2032110013 its reverse (3100112302), we get a palindrome (5132222315).

The spelling of 2032110013 in words is "two billion, thirty-two million, one hundred ten thousand, thirteen".