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10011013 is a prime number
BaseRepresentation
bin100110001100…
…000110000101
3200211121112021
4212030012011
510030323023
6554323141
7151043425
oct46140605
920747467
1010011013
115718471
1234294b1
1320c689c
141488485
15d2b35d
hex98c185

10011013 has 2 divisors, whose sum is σ = 10011014. Its totient is φ = 10011012.

The previous prime is 10010989. The next prime is 10011017. The reversal of 10011013 is 31011001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9998244 + 12769 = 3162^2 + 113^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10011013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010987 and 10011005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005506 + 5005507.

It is an arithmetic number, because the mean of its divisors is an integer number (5005507).

Almost surely, 210011013 is an apocalyptic number.

It is an amenable number.

10011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011013 is an equidigital number, since it uses as much as digits as its factorization.

10011013 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 10011013 is about 3164.0184892001. The cubic root of 10011013 is about 215.5225292847.

Adding to 10011013 its reverse (31011001), we get a palindrome (41022014).

The spelling of 10011013 in words is "ten million, eleven thousand, thirteen".