It is now 1:00 a.m. What time will it be 2023 minutes from now?
Note that $2023=33 \times 60+43$, and since there are 60 minutes in an hour, this means that 2023 minutes is equal to 33 hours and 43 minutes.

For 33 hours and 43 minutes to pass, 24 hours will pass and then 9 hours and 43 minutes will pass.

In 24 hours it will be 1:00 a.m. again.

In 9 hours and 43 minutes after 1:00 a.m., it will be 10:43 a.m.

ANSWER: 10:43 a.m.