What are the numbers divisible by 1013?

1013, 2026, 3039, 4052, 5065, 6078, 7091, 8104, 9117, 10130, 11143, 12156, 13169, 14182, 15195, 16208, 17221, 18234, 19247, 20260, 21273, 22286, 23299, 24312, 25325, 26338, 27351, 28364, 29377, 30390, 31403, 32416, 33429, 34442, 35455, 36468, 37481, 38494, 39507, 40520, 41533, 42546, 43559, 44572, 45585, 46598, 47611, 48624, 49637, 50650, 51663, 52676, 53689, 54702, 55715, 56728, 57741, 58754, 59767, 60780, 61793, 62806, 63819, 64832, 65845, 66858, 67871, 68884, 69897, 70910, 71923, 72936, 73949, 74962, 75975, 76988, 78001, 79014, 80027, 81040, 82053, 83066, 84079, 85092, 86105, 87118, 88131, 89144, 90157, 91170, 92183, 93196, 94209, 95222, 96235, 97248, 98261, 99274

There is a total of 98 numbers (up to 100000) that are divisible by 1013.
The sum of these numbers is 4914063.
The arithmetic mean of these numbers is 50143.5.

How to find the numbers divisible by 1013?

Finding all the numbers that can be divided by 1013 is essentially the same as searching for the multiples of 1013: if a number N is a multiple of 1013, then 1013 is a divisor of N.

Indeed, if we assume that N is a multiple of 1013, this means there exists an integer k such that:

$k \times 1013 = N$

Conversely, the result of N divided by 1013 is this same integer k (without any remainder):

$k = \frac{N}{1013}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1013 (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 1013 less than 100000):

1 × 1013 = 1013
2 × 1013 = 2026
3 × 1013 = 3039
...
97 × 1013 = 98261
98 × 1013 = 99274