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11012013 = 322415077
BaseRepresentation
bin101010000000…
…011110101101
3202201110122100
4222000132231
510304341023
61032005313
7162412665
oct52003655
922643570
1011012013
116241541
123830839
1323873ac
1416691a5
15e77c43
hexa807ad

11012013 has 12 divisors (see below), whose sum is σ = 15975388. Its totient is φ = 7309440.

The previous prime is 11012011. The next prime is 11012017. The reversal of 11012013 is 31021011.

11012013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9753129 + 1258884 = 3123^2 + 1122^2 .

It is not a de Polignac number, because 11012013 - 21 = 11012011 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011986 and 11012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012011) 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 in 11 ways as a sum of consecutive naturals, for example, 370 + ... + 4707.

Almost surely, 211012013 is an apocalyptic number.

It is an amenable number.

11012013 is a deficient number, since it is larger than the sum of its proper divisors (4963375).

11012013 is a wasteful number, since it uses less digits than its factorization.

11012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5324 (or 5321 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 11012013 is about 3318.4353240646. The cubic root of 11012013 is about 222.4789392177.

Adding to 11012013 its reverse (31021011), we get a palindrome (42033024).

The spelling of 11012013 in words is "eleven million, twelve thousand, thirteen".

Divisors: 1 3 9 241 723 2169 5077 15231 45693 1223557 3670671 11012013