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12102011101110 = 2357219433297927
BaseRepresentation
bin1011000000011011100000…
…0100101001111110110110
31120211221101221221222010110
42300012320010221332312
53041234404320213420
641423330454003450
72356225055036400
oct260067004517666
946757357858113
1012102011101110
113946485849a37
12143554b046586
1369a2a3a62488
142dba51b87b70
1515ec039b1ee0
hexb01b8129fb6

12102011101110 has 96 divisors (see below), whose sum is σ = 35565093930240. Its totient is φ = 2620585856448.

The previous prime is 12102011101079. The next prime is 12102011101121. The reversal of 12102011101110 is 1110111020121.

It is a super-3 number, since 3×121020111011103 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216621034 + ... + 216676893.

It is an arithmetic number, because the mean of its divisors is an integer number (370469728440).

Almost surely, 212102011101110 is an apocalyptic number.

12102011101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12102011101110 is an abundant number, since it is smaller than the sum of its proper divisors (23463082829130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102011101110 is a wasteful number, since it uses less digits than its factorization.

12102011101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433297970 (or 433297963 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12102011101110 its reverse (1110111020121), we get a palindrome (13212122121231).

The spelling of 12102011101110 in words is "twelve trillion, one hundred two billion, eleven million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 49 57 70 95 98 105 114 133 147 190 210 245 266 285 294 399 490 570 665 735 798 931 1330 1470 1862 1995 2793 3990 4655 5586 9310 13965 27930 433297927 866595854 1299893781 2166489635 2599787562 3033085489 4332979270 6066170978 6499468905 8232660613 9099256467 12998937810 15165427445 16465321226 18198512934 21231598423 24697981839 30330854890 41163303065 42463196846 45496282335 49395963678 57628624291 63694795269 82326606130 90992564670 106157992115 115257248582 123489909195 127389590538 172885872873 212315984230 246979818390 288143121455 318473976345 345771745746 403400370037 576286242910 636947952690 806800740074 864429364365 1210201110111 1728858728730 2017001850185 2420402220222 4034003700370 6051005550555 12102011101110