1. (10 points) Place table tennis balls in 10 boxes, with each box containing no fewer than 11 balls, not 13, and not a multiple of 5, and all numbers must be different. At least $\qquad$ table tennis balls are needed.
1. (10 points) Place ping-pong balls in 10 boxes, with each box containing no fewer than 11 balls, not 13, and not a multiple of 5, and all numbers must be different, with a minimum of 173 ping-pong balls.
【Analysis】No fewer than 11, so each box must contain at least 11 ping-pong balls, not 13, and not a multiple of 5, then the number of ping-pong balls in these 10 boxes, placed in the minimum way, are $11, 12, 14, 16, 17, 18, 19, 21, 22, 23$; so the minimum number required is the sum of these ten numbers.
【Solution】Solution: $11+12+14+16+17+18+19+21+22+23=173$ (balls);
Answer: At least 173 ping-pong balls are needed;
Therefore, the answer is: 173.