No.He is not out if the batted ball hits him on any parts of his body.He has to be off the bag to be out.
Actually the base is NOT a sanctuary EXCEPT for an infield fly. If a base runner standing on a base is hit by any other fair ball AND he would otherwise be out, he is still out.
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NO. For the player to be out he would have to have stepped off the bag and then would be in the field of play and therefore interferred with the ball.