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10050100013 is a prime number
BaseRepresentation
bin10010101110000100…
…00101101100101101
3221221102000222102102
421113002011230231
5131040311200023
64341132304445
7504023304062
oct112702055455
927842028372
1010050100013
114298023988
121b45912125
13c421ac255
146b4a84c69
153dc4a7628
hex257085b2d

10050100013 has 2 divisors, whose sum is σ = 10050100014. Its totient is φ = 10050100012.

The previous prime is 10050100007. The next prime is 10050100057. The reversal of 10050100013 is 31000105001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6148598569 + 3901501444 = 78413^2 + 62462^2 .

It is a cyclic number.

It is not a de Polignac number, because 10050100013 - 212 = 10050095917 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 = 10050099967 and 10050100003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10050100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5025050006 + 5025050007.

It is an arithmetic number, because the mean of its divisors is an integer number (5025050007).

Almost surely, 210050100013 is an apocalyptic number.

It is an amenable number.

10050100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10050100013 is an equidigital number, since it uses as much as digits as its factorization.

10050100013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15, while the sum is 11.

Adding to 10050100013 its reverse (31000105001), we get a palindrome (41050205014).

The spelling of 10050100013 in words is "ten billion, fifty million, one hundred thousand, thirteen".