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admirable n.  and  alternating n.

First numbers that belong to both sets:

12, 30, 54, 56, 70, 78, 234, 258, 270, 438, 474, 476, 498, 618, 650, 654, 672, 678, 812, 834, 836, 894, 945, 1036, 1038, 1074, 1434, 1614, 1638, 1652, 1698, 1876, 1878, 3018, 3052, 3054, 3230, 3250, 3414, 3472, 3678, 3836, 3858, 3892, 5012, 5034, 5298, 5456, 5830, 5898, 7278, 7494, 7674, 7698, 7818, 8925, 9258, 9294, 9436, 9474, 9498, 9654, 9678, 21234, 21498, 21678, 21858, 23212, 23492, 23658, 25458, 25638, 25698, 27076, 27078, 27294, 27498, 27618, 27834, 27858, 27894, 29092, 29418, 29450, 29454, 29658, 29814, 29838, 41214, 41298, 41636, 41692, 41694, 41898, 43278, 43458, 43652, 43698, 43854, 43876, 45052, 45294, 45438, 45498, 45618, 45834, 45836, 45858, 45894, 47238, 47274, 47298, 47694, 47852, 49074, 49252, 49254, 49458, 49614, 49638, 61012, 61014, 61458, 61638, 61818, 61878, 63078, 63476, 63678, 63834, 65298, 65418, 65454, 65492, 65634, 65694, 65838, 65874, 67038, 67278, 67434, 67458, 67638, 67674, 67676, 69018, 69076, 69294, 69474, 81078, 81452, 81676, 81678, 81894, 83238, 83274, 83298, 83418, 83478, 85036, 85038, 85458, 85494, 85818, 85876, 87018, 87052, 87258, 87294, 87834, 87836, 89058, 89214, 89236, 89274, 89634, 89814, 89852, 89898, 101058, 101274, 101276, 101298, 101418, 101658, 101836, 101874, 103098, 103218, 103254, 103434, 103852, 105054, 105234, 105414, 105438, 105474, 105476, 105654, 105812, 107034, 107418, 107454, 107634, 109014, 109614, 109676, 109878, 121038, 121098, 121436, 121492, 121494, 121614, 123054, 123258, 123294, 123452, 123834, 125094, 125238, 125274, 125418, 125634, 125898, 127014, 127074, 127472, 127614, 127698, 127876, 127878, 129018, 129414, 129678, 129836, 129892, 129894, 141054, 141092, 141234, 141294, 141618, 141652, 141654, 143214, 143238, 143274, 143454, 145012, 145014, 145074, 145218, 145292, 145434, 145852, 147054, 147812, 149658, 149874, 161034, 161094, 161274, 161418, 161812, 163074, 163434, 163492, 163698, 165054, 165234, 165498, 167298, 167636, 167658, 167898, 169036, 169098, 169674, 169698.

Some larger examples :