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Search a number
odious n.  and  self-describing n.

First numbers that belong to both sets:

22, 224444, 442244, 444422, 10123331, 10143133, 10153331, 10193133, 10193331, 10212332, 10311233, 10311533, 10311933, 10313314, 10313316, 10313319, 10322123, 10331431, 10331531, 10331731, 10331831, 10333114, 10333116, 10333119, 12103133, 12103331, 12143331, 12153133, 12153331, 12163133, 12163331, 12183133, 12193133, 12311033, 12311433, 12311833, 12313315, 12313317, 12313318, 12331031, 12331431, 12331531, 12331731, 12333110, 12333114, 12333116, 12333119, 14103331, 14123133, 14123331, 14153133, 14153331, 14163133, 14163331, 14183331, 14193133, 14311033, 14311233, 14311633, 14311933, 14313310, 14313316, 14313319, 14322123, 14322321, 14331631, 14331731, 14331831, 14333112, 14333115, 14333117, 14333118, 15143133, 15183133, 15213223, 15233221, 15311433, 15311633, 15311933, 15313312, 15313317, 15313318, 15322321, 15331031, 15331631, 15331831, 15331931, 15333110, 15333114, 15333116, 15333119, 16103133, 16143331, 16153133, 16153331, 16173133, 16173331, 16183331, 16193133, 16193331, 16232132, 16311033, 16311233, 16311533, 16311733, 16311833, 16313310, 16313314, 16313319, 16322123, 16331031, 16331531, 16331731, 16333112, 16333115, 16333117, 16333118, 17103331, 17123331, 17153133, 17153331, 17183133, 17193133, 17212332, 17232132, 17311033, 17311433, 17311633, 17313312, 17313315, 17313318, 17331231, 17331531, 17331631, 17331831, 17331931, 17333110, 17333114, 17333116, 17333119, 18103133, 18123331, 18143331, 18153133, 18163133, 18311033, 18311433, 18311633, 18311733, 18313310, 18313314, 18313316, 18313319, 18322123, 18331031, 18331431, 18331531, 18331731, 18333112, 18333115, 18333117, 19103133, 19123133, 19123331, 19163133, 19173133, 19173331, 19183331, 19212332, 19213223, 19232132, 19233221, 19311033, 19311733, 19311833, 19313310, 19313314, 19313316, 19322321, 19331031, 19331231, 19331431, 19331531, 19331631, 19331831, 19333112, 19333115, 19333117, 19333118, 20202442, 20203233, 20204224, 20242042, 20244220, 20322033, 20422024, 21152332, 21172332, 21173223, 21183223, 21214224, 21231432, 21231532, 21231732, 21231832, 21233210, 21233215, 21233217, 21233218, 21242142, 21244221, 21321523, 21321823, 21321923, 21322310, 21322314, 21322316, 21322319, 21323321, 21333221, 22666666, 23102132, 23142132, 23143221, 23162132, 23172132, 23173221, 23182132, 23211032, 23211432, 23211632, 23211932, 23213210, 23213215, 23213216, 23213219, 23321421, 23321521, 23321621, 23321721, 23321921, 23322115, 23322117, 23322118, 23422324, 23422423, 24202042, 24214221, 24234223, 24254225, 24262642, 24272742, 24274227, 24282842, 24333224, 24422020, 24422323, 24422727, 24422828, 24422929, 25253233, 25253332, 25254224, 25322533, 25323325, 25422425, 26242642, 26244226, 26262442, 26332632, 26422624, 27272442, 27273233, 27273332, 27274224, 27322733, 27333227, 27422427, 28244228, 28283233.

Some larger examples :