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The draw for the FA Cup first round takes place live on BBC2 on Monday night (7pm).
League 1 Gillingham are ball No.20 while Maidstone United - in the main draw for the first time since 1991 after their 2-1 win over Welling - are No.66.
Other Kent clubs in the hat are Bromley (No.77), Dartford (No.65) and Dover (No.69), although Whites must first beat Eastbourne Borough in a fourth qualifying round replay on Tuesday night to reach the first round proper.
Among the attractive draws for Kent's non-league clubs are former Premier League clubs Sheffield United (No.39), Coventry City (No.13), 2008 winners Portsmouth (No.35), Barnsley (No.3), Bradford (No.4), Oldham (No.30) and Swindon (No.43).