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221110010000110 = 257111991997722581
BaseRepresentation
bin110010010001100100101111…
…100110100011001011101110
31001222212220120202202000122201
4302101210233212203023232
5212440131300030000420
62102132311502132114
764400446112555650
oct6221445746431356
91058786522660581
10221110010000110
11644a8257356640
1220970726b8103a
13964b77a129c6a
143c85ad29526d0
151a868a35ac10a
hexc9192f9a32ee

221110010000110 has 128 divisors (see below), whose sum is σ = 498949229721600. Its totient is φ = 68536655193600.

The previous prime is 221110010000101. The next prime is 221110010000213. The reversal of 221110010000110 is 11000010011122.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305639020 + ... + 306361600.

It is an arithmetic number, because the mean of its divisors is an integer number (3898040857200).

Almost surely, 2221110010000110 is an apocalyptic number.

221110010000110 is an abundant number, since it is smaller than the sum of its proper divisors (277839219721490).

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

221110010000110 is a wasteful number, since it uses less digits than its factorization.

221110010000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724802.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 221110010000110 its reverse (11000010011122), we get a palindrome (232110020011232).

The spelling of 221110010000110 in words is "two hundred twenty-one trillion, one hundred ten billion, ten million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 199 385 398 770 995 1393 1990 1997 2189 2786 3994 4378 6965 9985 10945 13930 13979 15323 19970 21890 21967 27958 30646 43934 69895 76615 109835 139790 153230 153769 219670 307538 397403 722581 768845 794806 1445162 1537690 1987015 2781821 3612905 3974030 4371433 5058067 5563642 7225810 7948391 8742866 10116134 13909105 15896782 21857165 25290335 27818210 30600031 39741955 43714330 50580670 55638737 61200062 79483910 111277474 143793619 153000155 278193685 287587238 306000310 556387370 718968095 1006555333 1437936190 1442994257 1581729809 2013110666 2885988514 3163459618 5032776665 7214971285 7908649045 10065553330 10100959799 11072108663 14429942570 15817298090 15872936827 20201919598 22144217326 31745873654 50504798995 55360543315 79364684135 101009597990 110721086630 111110557789 158729368270 222221115578 287155857143 555552788945 574311714286 1111105577890 1435779285715 2010091000001 2871558571430 3158714428573 4020182000002 6317428857146 10050455000005 15793572142865 20100910000010 22111001000011 31587144285730 44222002000022 110555005000055 221110010000110