00
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To determine the last page number using 822 digits, we can break it down by the number of digits used for each range of page numbers. Pages 1 to 9 use 9 digits (1 digit each), pages 10 to 99 use 180 digits (90 pages × 2 digits), and pages 100 onward use 3 digits each. After using 189 digits for pages 1 to 99, there are 633 digits remaining for pages 100 and beyond, which accounts for 211 pages (633 ÷ 3). Thus, the last page is 99 + 211 = page 310.
The largest digits number with only 2 digits alike is 99
99
45. There are only 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. So I am not sure where the "99 digits", in the question come from.
99 Or how about (9)9 ?