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10011101011 is a prime number
BaseRepresentation
bin10010101001011010…
…10100011101010011
3221211200122121211221
421110231110131103
5131000320213021
64333220345511
7503040645262
oct112455243523
927750577757
1010011101011
1142780073aa
121b34845297
13c370a6212
153d8d52241
hex254b54753

10011101011 has 2 divisors, whose sum is σ = 10011101012. Its totient is φ = 10011101010.

The previous prime is 10011100997. The next prime is 10011101027. The reversal of 10011101011 is 11010111001.

Adding to 10011101011 its reverse (11010111001), we get a palindrome (21021212012).

It can be divided in two parts, 1001 and 1101011, that multiplied together give a palindrome (1102112011).

It is a happy number.

10011101011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10011101011 - 217 = 10010969939 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10011100985 and 10011101003.

It is not a weakly prime, because it can be changed into another prime (10011105011) 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, 5005550505 + 5005550506.

It is an arithmetic number, because the mean of its divisors is an integer number (5005550506).

Almost surely, 210011101011 is an apocalyptic number.

10011101011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011101011 is an equidigital number, since it uses as much as digits as its factorization.

10011101011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 7.

The spelling of 10011101011 in words is "ten billion, eleven million, one hundred one thousand, eleven".