What are the numbers divisible by 1010?

1010, 2020, 3030, 4040, 5050, 6060, 7070, 8080, 9090, 10100, 11110, 12120, 13130, 14140, 15150, 16160, 17170, 18180, 19190, 20200, 21210, 22220, 23230, 24240, 25250, 26260, 27270, 28280, 29290, 30300, 31310, 32320, 33330, 34340, 35350, 36360, 37370, 38380, 39390, 40400, 41410, 42420, 43430, 44440, 45450, 46460, 47470, 48480, 49490, 50500, 51510, 52520, 53530, 54540, 55550, 56560, 57570, 58580, 59590, 60600, 61610, 62620, 63630, 64640, 65650, 66660, 67670, 68680, 69690, 70700, 71710, 72720, 73730, 74740, 75750, 76760, 77770, 78780, 79790, 80800, 81810, 82820, 83830, 84840, 85850, 86860, 87870, 88880, 89890, 90900, 91910, 92920, 93930, 94940, 95950, 96960, 97970, 98980, 99990

There is a total of 99 numbers (up to 100000) that are divisible by 1010.
The sum of these numbers is 4999500.
The arithmetic mean of these numbers is 50500.

How to find the numbers divisible by 1010?

Finding all the numbers that can be divided by 1010 is essentially the same as searching for the multiples of 1010: if a number N is a multiple of 1010, then 1010 is a divisor of N.

Indeed, if we assume that N is a multiple of 1010, this means there exists an integer k such that:

$k \times 1010 = N$

Conversely, the result of N divided by 1010 is this same integer k (without any remainder):

$k = \frac{N}{1010}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1010 (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 1010 less than 100000):

1 × 1010 = 1010
2 × 1010 = 2020
3 × 1010 = 3030
...
98 × 1010 = 98980
99 × 1010 = 99990