To determine the moles of chlorine atoms you would first need to multiply your number by 2 and then divide that by 6.022 x 10^23 (Avogadro’s number). If you want to determine the number of moles of chlorine (Cl2), then you would divide that result by 2. So:
1.1076 x 10^17 moles of chlorine (Cl2)
2.2152 x 10^17 moles of chlorine (Cl) atoms.