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admirable n.  and  Ulam n.

First numbers that belong to both sets:

102, 114, 138, 258, 282, 402, 1338, 1902, 3918, 4038, 5118, 5514, 5516, 5826, 5946, 6244, 6366, 6435, 6738, 7158, 7192, 7278, 7302, 7818, 8238, 8754, 8876, 9186, 9555, 9726, 10002, 10806, 11226, 11586, 11994, 12162, 12292, 13242, 13506, 13758, 13782, 14046, 14298, 14838, 14862, 16746, 17562, 17826, 19852, 20238, 20482, 20778, 21066, 21342, 21738, 22036, 22818, 23334, 24954, 25386, 27282, 27524, 28734, 28758, 28924, 29706, 29814, 31998, 32514, 33486, 34134, 34302, 34412, 34972, 35106, 35214, 35216, 35886, 35922, 36428, 36726, 39126, 39184, 40628, 41168, 41804, 41972, 42258, 42774, 43372, 44716, 44934, 45366, 45642, 46014, 46554, 47262, 48066, 48606, 48882, 49422, 50092, 52108, 52386, 52926, 53034, 53598, 55086, 55218, 55758, 56946, 57092, 57522, 57894, 58324, 58326, 58458, 58602, 58998, 59106, 59108, 59406, 59538, 59836, 61158, 62214, 62754, 62922, 64374, 64398, 65346, 65742, 65996, 66162, 66426, 66724, 69798, 69942, 70314, 70878, 70986, 72066, 72222, 72642, 73578, 73686, 74526, 75066, 75846, 75882, 77874, 78006, 79494, 79604, 80034, 80466, 80706, 80862, 81116, 81138, 81402, 83188, 84486, 84894, 84918, 86406, 86514, 87222, 87342, 87726, 87836, 88422, 88554, 89106, 89776, 90318, 90834, 90966, 94098, 94638, 95564, 95826, 96402, 96666, 97338, 98286, 98704, 98958, 100146, 100324, 100446, 101658, 102174, 102198, 102738, 103254, 103386, 103926, 106086, 107454, 108282, 108786, 109614, 110406, 111102, 112026, 112028, 112458, 112588, 113428, 114772, 115266, 115422, 115806, 117042, 117186, 117582, 117966, 118506, 118806, 119202, 119588, 120126, 120282, 120316, 120534, 120966, 122046, 122586, 124734, 125274, 125418, 125526, 125682, 125804, 126066, 126366, 126476, 128382, 129462, 130564, 130926, 131622, 131766, 132942, 133374, 133626, 134058, 134598, 135268, 135678, 136074, 136326, 136614, 136722, 138378, 138486, 139866, 141186, 141486, 142566, 142828, 143886, 144426, 145012, 146356, 146442, 147282, 147558, 148316, 149442, 150222, 150666, 152682, 152814, 152826, 154038, 154302, 154446, 154578.

Some larger examples :