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brilliant n.  and  plaindrome

First numbers that belong to both sets:

4, 6, 9, 14, 15, 25, 35, 49, 169, 247, 289, 299, 377, 559, 589, 667, 689, 779, 799, 899, 1139, 1147, 1157, 1159, 1189, 1247, 1333, 1349, 1357, 1369, 1457, 1577, 1679, 2257, 2279, 2449, 2479, 3337, 3569, 3589, 3599, 4489, 4559, 6889, 11227, 11449, 13589, 16789, 16799, 22499, 22577, 22999, 23449, 23999, 25777, 27889, 29999, 33389, 33499, 33667, 33899, 34579, 34889, 44599, 45889, 48899, 55567, 55577, 55669, 56789, 66667, 66679, 67799, 77789, 78899, 88889, 111239, 111277, 111379, 111457, 111557, 111589, 111677, 111899, 112267, 112367, 112477, 112669, 112699, 113389, 113569, 113669, 114449, 115567, 118999, 122237, 122257, 122459, 122669, 123359, 123467, 123559, 123577, 123679, 123689, 123889, 125569, 125999, 126677, 126689, 133333, 133369, 133457, 133577, 133667, 133789, 134557, 134599, 134689, 134899, 135557, 136699, 137789, 144499, 144679, 145699, 146689, 146789, 155999, 222359, 222559, 223357, 223889, 224899, 226679, 227779, 233333, 233789, 234679, 234779, 235667, 244679, 244999, 245699, 256777, 266789, 267779, 333899, 335779, 335789, 344459, 344569, 346777, 346999, 347777, 357899, 359999, 378899, 445999, 555889, 567799, 777899, 1144459, 1223333, 1238899, 1333349, 1334447, 1335799, 1345999, 1346699, 1444579, 1555667, 2224499, 2224589, 2227999, 2234489, 2237779, 2247799, 2256679, 2266889, 2267779, 2269999, 2335999, 2346889, 2355589, 2444579, 2444777, 2455559, 2568899, 2677777, 2678999, 2777777, 2778889, 3334447, 3334777, 3335557, 3344489, 3346699, 3368999, 3377789, 3455579, 3455677, 3457799, 3488899, 3555569, 3555577, 3566777, 3666779, 3666899, 3667777, 3677777, 3779999, 4444679, 4445579, 4445669, 4456667, 4457779, 4457899, 4559999, 4669999, 5556799, 5566999, 5588899, 5666699, 5667889, 5667899, 5668889, 5788999, 5999999, 6667799, 6677779, 6777899, 7777999, 8888899, 8999999, 11111159, 11111179, 11111189, 11111239, 11111249, 11111389, 11111479, 11111567, 11111689, 11112389, 11112589, 11112667, 11112799, 11112889, 11114699, 11115899, 11122339, 11122667, 11123377, 11123449, 11126777, 11134559, 11136799, 11144789, 11146777, 11155999, 11167799, 11177779, 11188999, 11222389, 11222399, 11223389, 11223599, 11224457, 11227789, 11233349, 11233367, 11233457, 11233679, 11234459, 11245567, 11245579, 11245589, 11246789, 11256677.

Some larger examples :