Search a number
-
+
10003303253 is a prime number
BaseRepresentation
bin10010101000011111…
…00100101101010101
3221211010222110100002
421110033210231111
5130441321201003
64332341301045
7502614450266
oct112417445525
927733873302
1010003303253
114273670879
121b32104785
13c355a5b68
146ac78296d
153d8311a88
hex2543e4b55

10003303253 has 2 divisors, whose sum is σ = 10003303254. Its totient is φ = 10003303252.

The previous prime is 10003303241. The next prime is 10003303259. The reversal of 10003303253 is 35230330001.

10003303253 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9143758129 + 859545124 = 95623^2 + 29318^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003303253 - 220 = 10002254677 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003303259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001651626 + 5001651627.

It is an arithmetic number, because the mean of its divisors is an integer number (5001651627).

Almost surely, 210003303253 is an apocalyptic number.

It is an amenable number.

10003303253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003303253 is an equidigital number, since it uses as much as digits as its factorization.

10003303253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 20.

Adding to 10003303253 its reverse (35230330001), we get a palindrome (45233633254).

The spelling of 10003303253 in words is "ten billion, three million, three hundred three thousand, two hundred fifty-three".