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221232120113100 = 2235217128621337261
BaseRepresentation
bin110010010011010110011101…
…111011101010011111001100
31002000022120202211110111000010
4302103112131323222133030
5212444131340222104400
62102304344413433220
764412331113445165
oct6223263573523714
91060276684414003
10221232120113100
1164545019326898
122099032549b810
13965a13a5332a5
143c8b99821876c
151a89b4d926450
hexc9359deea7cc

221232120113100 has 144 divisors (see below), whose sum is σ = 677758385749536. Its totient is φ = 55524327936000.

The previous prime is 221232120113063. The next prime is 221232120113111. The reversal of 221232120113100 is 1311021232122.

It is a super-2 number, since 2×2212321201131002 (a number of 29 digits) contains 22 as substring.

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, 655798470 + ... + 656135730.

It is an arithmetic number, because the mean of its divisors is an integer number (4706655456594).

Almost surely, 2221232120113100 is an apocalyptic number.

221232120113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221232120113100 is an abundant number, since it is smaller than the sum of its proper divisors (456526265636436).

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

221232120113100 is a wasteful number, since it uses less digits than its factorization.

221232120113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465916 (or 465909 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 221232120113100 its reverse (1311021232122), we get a palindrome (222543141345222).

The spelling of 221232120113100 in words is "two hundred twenty-one trillion, two hundred thirty-two billion, one hundred twenty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2550 5100 128621 257242 337261 385863 514484 643105 674522 771726 1011783 1286210 1349044 1543452 1686305 1929315 2023566 2186557 2572420 3215525 3372610 3858630 4047132 4373114 5058915 5733437 6431050 6559671 6745220 7717260 8431525 8746228 9646575 10117830 10932785 11466874 12862100 13119342 16863050 17200311 19293150 20235660 21865570 22933748 25294575 26238684 28667185 32798355 33726100 34400622 38586300 43731140 50589150 54663925 57334370 65596710 68801244 86001555 101178300 109327850 114668740 131193420 143335925 163991775 172003110 218655700 286671850 327983550 344006220 430007775 573343700 655967100 860015550 1720031100 43378847081 86757694162 130136541243 173515388324 216894235405 260273082486 433788470810 520546164972 650682706215 737440400377 867576941620 1084471177025 1301365412430 1474880800754 2168942354050 2212321201131 2602730824860 2949761601508 3253413531075 3687202001885 4337884708100 4424642402262 6506827062150 7374404003770 8849284804524 11061606005655 13013654124300 14748808007540 18436010009425 22123212011310 36872020018850 44246424022620 55308030028275 73744040037700 110616060056550 221232120113100