Search a number
-
+
10103300113 is a prime number
BaseRepresentation
bin10010110100011010…
…00010000000010001
3222002010010211020111
421122031002000101
5131142421100423
64350312441321
7505240430314
oct113215020021
928063124214
1010103300113
11431505aa05
121b5b6a9241
13c502180ba
146bbb7297b
153e1eb560d
hex25a342011

10103300113 has 2 divisors, whose sum is σ = 10103300114. Its totient is φ = 10103300112.

The previous prime is 10103300093. The next prime is 10103300219. The reversal of 10103300113 is 31100330101.

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., 9953653824 + 149646289 = 99768^2 + 12233^2 .

It is a cyclic number.

It is not a de Polignac number, because 10103300113 - 225 = 10069745681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10103300093 and 10103300102.

It is not a weakly prime, because it can be changed into another prime (10103303113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051650056 + 5051650057.

It is an arithmetic number, because the mean of its divisors is an integer number (5051650057).

Almost surely, 210103300113 is an apocalyptic number.

It is an amenable number.

10103300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103300113 is an equidigital number, since it uses as much as digits as its factorization.

10103300113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 10103300113 its reverse (31100330101), we get a palindrome (41203630214).

The spelling of 10103300113 in words is "ten billion, one hundred three million, three hundred thousand, one hundred thirteen".