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deceptive n.  and  Duffinian n.

First numbers that belong to both sets:

259, 451, 481, 2981, 4141, 4187, 5461, 6533, 6541, 7471, 7777, 8149, 8401, 8911, 10001, 11111, 13981, 14701, 14911, 15841, 24013, 27613, 29341, 34133, 34441, 45527, 46657, 48433, 50851, 50881, 52633, 54913, 57181, 63139, 65311, 66991, 67861, 68101, 75361, 82513, 83119, 95161, 97273, 100001, 101491, 102173, 113201, 115627, 115921, 118301, 118957, 122221, 128713, 130351, 131821, 134821, 134863, 137149, 138481, 139231, 145181, 147001, 148417, 158497, 162401, 166499, 170017, 179881, 188269, 188501, 201917, 216001, 216931, 226273, 229633, 231337, 234421, 237169, 237817, 245491, 247753, 248677, 250717, 252601, 253099, 274231, 281821, 287749, 287809, 298033, 301081, 302177, 304057, 314821, 334153, 341503, 351809, 357641, 366337, 372731, 390313, 391141, 410041, 413339, 420343, 437251, 451091, 455971, 458641, 463241, 463489, 481601, 489997, 491063, 492101, 497377, 497927, 505363, 509971, 511969, 520801, 522349, 530881, 552721, 567721, 585631, 588193, 589537, 601657, 603961, 607321, 632641, 634351, 642001, 710533, 741751, 749521, 841633, 853381, 868001, 880237, 886033, 903169, 906193, 909709, 924001, 929633, 963857, 974611, 976873, 981317, 989017, 997981, 999001, 1004329, 1005697, 1024651, 1039441, 1039849, 1041043, 1042417, 1069993, 1080697, 1081649, 1090051, 1096681, 1111111, 1128871, 1141141, 1152271, 1163801, 1167607, 1168513, 1169101, 1182721, 1251949, 1267801, 1268551, 1275347, 1279201, 1287937, 1294411, 1298737, 1306369, 1362061, 1376299, 1394171, 1398101, 1408849, 1446241, 1446661, 1450483, 1462441, 1492663, 1498981, 1531711, 1543381, 1551941, 1576381, 1583821, 1590751, 1615681, 1703221, 1705621, 1711601, 1719601, 1731241, 1739089, 1748921, 1756351, 1758121, 1769377, 1772611, 1773289, 1792081, 1803413, 1809697, 1810513, 1826209, 1840321, 1846681, 1850017, 1857241, 1863907, 1876393, 1884961, 1887271, 1892143, 1907851, 1909001, 1918201, 1922801, 1926761, 1942957, 1943341, 1945423, 1953671, 1991821, 2024641, 2030341, 2056681, 2085301, 2146957, 2161501, 2165801, 2171401, 2190931, 2194973, 2203321, 2205967, 2215291, 2237017, 2278001, 2290289, 2299081, 2305633, 2314201, 2337301, 2358533, 2371681, 2386141, 2392993, 2406401, 2424731, 2432161, 2455921, 2463661, 2508013, 2512441, 2524801, 2525909, 2539183, 2563903, 2585701, 2603381, 2658433, 2699431, 2704801, 2765713, 2795519.

Some larger examples :