11. (5 points) $\overline{1 \mathrm{abc}}$ is a four-digit number, and this four-digit number can be divided by $2,3,5$. Then the minimum value of $\overline{1 \mathrm{abc}}$ is $\qquad$ .
【Analysis】The characteristic of a number that can be divided by 2, 3, and 5 simultaneously is: the unit digit is 0, and the sum of the digits in each position is a multiple of 3; since the smallest number is required, the four digits should be as small as possible, and knowing that the highest digit is 1, the digits $a b c$ should start from 0. Thus, the answer that meets the requirement can be found.
【Solution】Since the smallest number is required, the four digits should be as small as possible, and knowing that the highest digit is 1, the digits 0, $1, 2, 3$ should be used to form the smallest four-digit number that can be divided by $2, 3, 5$ is 1020.
Answer: $\overline{1 \mathrm{abc}}$'s minimum value is 1020.
Therefore, the answer is: 1020.