Perovic was 2 of 3 from 3-point range and 8 of 12 overall for the Bearcats (1-2). Yosef Yacob added three 3-pointers and finished with 14 points.
Binghamton opened the second half on a 12-4 run, going ahead 53-29 on Romello Walker's layup with 16:44 left. Walker had nine points, five rebounds and five assists.
Matt Wilson's layup for Hartwick stopped the run at 53-31, but the Hawks would get no closer.
Wilson finished with 10 points on 4-of-4 shooting, leading Hartwick which shot 16 of 48. None of Wilson's teammates made more than two field goals.
The Bearcats scored 11-straight midway through the first on their way to a 14-25 halftime lead.