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balanced n.  and  iban n.

First numbers that belong to both sets:

2, 10, 11, 12, 21, 41, 42, 44, 114, 120, 141, 142, 147, 170, 172, 177, 201, 202, 204, 210, 212, 240, 302, 304, 312, 344, 410, 412, 420, 424, 707, 710, 714, 721, 722, 724, 740, 742, 744, 1014, 1022, 1070, 1102, 1110, 1142, 1202, 1210, 1470, 2014, 2022, 2070, 2102, 2103, 2107, 2110, 2127, 2141, 2142, 2170, 2172, 2203, 2221, 2222, 2227, 2247, 2277, 2327, 2343, 2347, 2402, 2403, 2410, 2412, 2417, 2420, 2424, 2443, 2470, 2473, 2474, 2701, 2702, 2707, 2710, 2714, 2723, 2740, 2744, 2770, 2772, 3010, 3012, 3024, 3040, 3101, 3102, 3111, 3117, 3123, 3143, 3147, 3171, 3173, 3174, 3177, 3207, 3211, 3214, 3221, 3222, 3241, 3242, 3244, 3270, 3273, 3274, 3300, 3304, 3312, 3341, 3342, 3347, 3370, 3372, 3377, 3401, 3402, 3404, 3410, 3412, 3440, 3473, 3474, 3717, 3721, 3722, 3724, 3777, 4000, 7001, 7017, 7027, 7041, 7117, 7123, 7201, 7203, 7223, 7241, 7243, 7247, 7273, 7343, 7477, 7703, 10003, 10010, 10012, 10021, 10022, 10023, 10040, 10072, 10117, 10121, 10122, 10124, 10127, 10143, 10177, 10223, 10241, 10271, 10301, 10302, 10307, 10311, 10327, 10343, 10347, 10373, 10401, 10407, 10411, 10414, 10421, 10422, 10423, 10443, 10470, 10473, 10474, 10700, 10703, 10707, 10711, 10712, 10721, 10722, 10724, 10747, 11003, 11011, 11021, 11022, 11027, 11041, 11043, 11077, 11111, 11112, 11120, 11141, 11142, 11143, 11170, 11172, 11200, 11201, 11202, 11203, 11204, 11220, 11243, 11247, 11303, 11307, 11310, 11317, 11321, 11322, 11324, 11341, 11342, 11347, 11370, 11372, 11373, 11377, 11403, 11411, 11414, 11417, 11420, 11427, 11441, 11442, 11443, 11444, 11470, 11473, 11474, 11711, 11714, 11720, 11723, 11744, 11770, 12000, 12041, 12042, 12044, 12071, 12072, 12100, 12104, 12112, 12123, 12171, 12207, 12224, 12270, 12300, 12321, 12343, 12347, 12403, 12407, 12410, 12412.

Some larger examples :