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aban n.  and  balanced prime

First numbers that belong to both sets:

5, 53, 157, 173, 211, 257, 263, 373, 563, 593, 607, 653, 733, 947, 977, 1000099, 1000171, 1000193, 1000231, 1000403, 2000423, 4000267, 4000567, 5000257, 5000701, 5000987, 6000047, 6000277, 7000003, 7000033, 7000739, 8000561, 8000683, 8000771, 9000403, 9000427, 9000773, 10000121, 10000849, 11000393, 12000613, 14000071, 15000889, 16000973, 18000533, 18000919, 20000153, 20000537, 20000867, 20000873, 20000951, 21000251, 21000607, 21000839, 24000019, 24000083, 24000749, 24000931, 25000133, 25000867, 25000873, 26000279, 26000713, 26000869, 27000851, 29000507, 30000769, 30000781, 31000433, 31000477, 31000811, 31000897, 31000933, 33000133, 33000241, 33000299, 33000937, 34000147, 34000529, 35000893, 36000401, 36000527, 37000297, 37000303, 39000463, 39000653, 40000217, 40000561, 40000591, 40000627, 40000669, 42000067, 43000057, 44000603, 44000741, 45000299, 45000413, 45000457, 45000463, 46000399, 46000429, 47000171, 47000761, 48000361, 48000929, 52000307, 52000463, 52000687, 52000693, 52000801, 54000467, 55000753, 56000047, 56000053, 56000513, 56000723, 57000089, 57000913, 58000031, 58000049, 62000131, 62000791, 63000349, 63000449, 63000881, 64000159, 64000577, 64000649, 65000057, 65000357, 65000989, 66000223, 67000727, 68000021, 68000287, 68000929, 68000941, 69000097, 69000103, 69000121, 70000069, 70000081, 71000849, 72000121, 74000287, 74000593, 75000899, 76000187, 76000219, 76000501, 77000647, 77000809, 77000927, 78000101, 79000093, 79000231, 79000421, 79000739, 80000749, 81000077, 81000209, 81000221, 83000017, 83000131, 83000453, 83000791, 84000047, 84000863, 85000367, 86000407, 86000633, 88000127, 90000121, 90000991, 91000187, 91000583, 92000639, 93000989, 94000037, 94000343, 95000167, 95000173, 95000669, 95000681, 96000193, 96000929, 96000941, 97000837, 98000039, 98000141, 99000581, 101000407, 102000259, 103000237, 103000543, 103000921, 104000371, 105000769, 106000337, 106000471, 107000489, 107000501, 109000343, 109000643, 110000479, 111000781, 111000853, 112000279, 112000519, 112000531, 112000831, 113000527, 113000533, 113000729, 113000807, 115000357, 115000757, 115000967, 115000987, 115000993, 116000167, 116000207, 116000329, 117000223, 117000833, 118000087, 118000237, 118000319, 119000207, 119000419, 119000677, 120000899, 121000703, 122000317, 122000783, 123000727, 124000367, 125000537, 125000543, 125000741, 127000091, 130000477, 130000993, 131000069, 133000139, 133000663, 133000717, 134000099, 134000227, 135000311, 135000367, 136000801, 137000561, 137000777, 138000487, 138000539, 139000171, 139000501, 139000837, 141000149, 142000543, 144000397, 145000099, 146000809, 146000977, 147000577, 147000787, 148000031, 150000443, 151000183, 152000447, 152000539, 154000447, 155000149, 155000189, 155000371, 155000557, 158000747, 158000917, 159000487.

Some larger examples :