Search a number
-
+
11002023313 is a prime number
BaseRepresentation
bin10100011111100010…
…11000110110010001
31001101202020200200221
422033301120312101
5140013004221223
65015415313041
7536432440501
oct121761306621
931352220627
1011002023313
11473639aa56
12217067b781
131064485588
14765279a01
15445d3db5d
hex28fc58d91

11002023313 has 2 divisors, whose sum is σ = 11002023314. Its totient is φ = 11002023312.

The previous prime is 11002023259. The next prime is 11002023317. The reversal of 11002023313 is 31332020011.

11002023313 is digitally balanced in base 2, because in such base 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., 10934257489 + 67765824 = 104567^2 + 8232^2 .

It is a cyclic number.

It is not a de Polignac number, because 11002023313 - 217 = 11001892241 is a prime.

It is not a weakly prime, because it can be changed into another prime (11002023317) 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, 5501011656 + 5501011657.

It is an arithmetic number, because the mean of its divisors is an integer number (5501011657).

Almost surely, 211002023313 is an apocalyptic number.

It is an amenable number.

11002023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

11002023313 is an equidigital number, since it uses as much as digits as its factorization.

11002023313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 11002023313 its reverse (31332020011), we get a palindrome (42334043324).

The spelling of 11002023313 in words is "eleven billion, two million, twenty-three thousand, three hundred thirteen".