What are the numbers divisible by 9101?

9101, 18202, 27303, 36404, 45505, 54606, 63707, 72808, 81909, 91010

There is a total of 10 numbers (up to 100000) that are divisible by 9101.
The sum of these numbers is 500555.
The arithmetic mean of these numbers is 50055.5.

How to find the numbers divisible by 9101?

Finding all the numbers that can be divided by 9101 is essentially the same as searching for the multiples of 9101: if a number N is a multiple of 9101, then 9101 is a divisor of N.

Indeed, if we assume that N is a multiple of 9101, this means there exists an integer k such that:

$k \times 9101 = N$

Conversely, the result of N divided by 9101 is this same integer k (without any remainder):

$k = \frac{N}{9101}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9101 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 9101 less than 100000):

1 × 9101 = 9101
2 × 9101 = 18202
3 × 9101 = 27303
...
9 × 9101 = 81909
10 × 9101 = 91010