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11103312013 is a prime number
BaseRepresentation
bin10100101011100111…
…10001100010001101
31001122210211200200021
422111303301202031
5140214421441023
65033434302141
7542102411023
oct122563614215
931583750607
1011103312013
114788591722
12219a587951
13107c45a811
147748c4713
1544eb9a35d
hex295cf188d

11103312013 has 2 divisors, whose sum is σ = 11103312014. Its totient is φ = 11103312012.

The previous prime is 11103311963. The next prime is 11103312019. The reversal of 11103312013 is 31021330111.

11103312013 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., 9167488009 + 1935824004 = 95747^2 + 43998^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11103312013 is a prime.

It is a super-2 number, since 2×111033120132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11103312019) 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, 5551656006 + 5551656007.

It is an arithmetic number, because the mean of its divisors is an integer number (5551656007).

Almost surely, 211103312013 is an apocalyptic number.

It is an amenable number.

11103312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11103312013 is an equidigital number, since it uses as much as digits as its factorization.

11103312013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11103312013 its reverse (31021330111), we get a palindrome (42124642124).

The spelling of 11103312013 in words is "eleven billion, one hundred three million, three hundred twelve thousand, thirteen".