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10014013 = 37893041
BaseRepresentation
bin100110001100…
…110100111101
3200211202122101
4212030310331
510030422023
6554345101
7151055242
oct46146475
920752571
1010014013
11571a749
12342b191
1320c8069
1414895c9
15d2c1ad
hex98cd3d

10014013 has 8 divisors (see below), whose sum is σ = 10403640. Its totient is φ = 9630720.

The previous prime is 10013981. The next prime is 10014031. The reversal of 10014013 is 31041001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4897369 + 5116644 = 2213^2 + 2262^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10014013 - 25 = 10013981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1773 + ... + 4813.

It is an arithmetic number, because the mean of its divisors is an integer number (1300455).

Almost surely, 210014013 is an apocalyptic number.

It is an amenable number.

10014013 is a deficient number, since it is larger than the sum of its proper divisors (389627).

10014013 is an equidigital number, since it uses as much as digits as its factorization.

10014013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167.

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 10014013 is about 3164.4925343568. The cubic root of 10014013 is about 215.5440556781.

Adding to 10014013 its reverse (31041001), we get a palindrome (41055014).

The spelling of 10014013 in words is "ten million, fourteen thousand, thirteen".

Divisors: 1 37 89 3041 3293 112517 270649 10014013