I have a table:
CREATE TABLE `ids` (
id int(11) not null auto_increment,
PRIMARY KEY (id)
);
It contains some IDs: 111, 112, 113, 1
One option is to CAST the 112 to CHAR to get a proper match:
WHERE CAST(id AS CHAR(12)) = '112abcdefg'
The 12 in CHAR is a guess; it should be large enough for your biggest id.
That will probably kill any chance of optimization, so another option (though one I'm not 100% sure of) is to use a BINARY comparison. I've tried this with a few different values and it works:
WHERE BINARY id = '112abcdefg'