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10013011 is a prime number
BaseRepresentation
bin100110001100…
…100101010011
3200211201021021
4212030211103
510030404021
6554340311
7151052311
oct46144523
920751237
1010013011
115719a18
12342a697
1320c7778
1414890b1
15d2bc41
hex98c953

10013011 has 2 divisors, whose sum is σ = 10013012. Its totient is φ = 10013010.

The previous prime is 10013009. The next prime is 10013053. The reversal of 10013011 is 11031001.

It is a happy number.

10013011 is digitally balanced in base 3, 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 10013011 - 21 = 10013009 is a prime.

It is a super-2 number, since 2×100130112 = 200520778572242, which contains 22 as substring.

Together with 10013009, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 10012985 and 10013003.

It is not a weakly prime, because it can be changed into another prime (10013071) 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 as a sum of consecutive naturals, namely, 5006505 + 5006506.

It is an arithmetic number, because the mean of its divisors is an integer number (5006506).

Almost surely, 210013011 is an apocalyptic number.

10013011 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013011 is an equidigital number, since it uses as much as digits as its factorization.

10013011 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 10013011 is about 3164.3342111730. The cubic root of 10013011 is about 215.5368663410.

Adding to 10013011 its reverse (11031001), we get a palindrome (21044012).

The spelling of 10013011 in words is "ten million, thirteen thousand, eleven".