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221231010112200 = 2332521111173283339
BaseRepresentation
bin110010010011010101011011…
…110001010110001011001000
31002000022110220110210121000200
4302103111123301112023020
5212444122102042042300
62102304042322332200
764412261444550024
oct6223253361261310
91060273813717020
10221231010112200
11645445a9800780
12209900757ba060
139659cc159051a
143c8b8d0a35384
151a89ad6267200
hexc9355bc562c8

221231010112200 has 144 divisors (see below), whose sum is σ = 810509973483600. Its totient is φ = 53631760022400.

The previous prime is 221231010112181. The next prime is 221231010112247. The reversal of 221231010112200 is 2211010132122.

221231010112200 is a `hidden beast` number, since 2 + 212 + 310 + 10 + 112 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5586621870 + ... + 5586661469.

It is an arithmetic number, because the mean of its divisors is an integer number (5628541482525).

Almost surely, 2221231010112200 is an apocalyptic number.

221231010112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221231010112200 is an abundant number, since it is smaller than the sum of its proper divisors (589278963371400).

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

221231010112200 is a wasteful number, since it uses less digits than its factorization.

221231010112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11173283372 (or 11173283360 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 221231010112200 its reverse (2211010132122), we get a palindrome (223442020244322).

The spelling of 221231010112200 in words is "two hundred twenty-one trillion, two hundred thirty-one billion, ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800 11173283339 22346566678 33519850017 44693133356 55866416695 67039700034 89386266712 100559550051 111732833390 122906116729 134079400068 167599250085 201119100102 223465666780 245812233458 268158800136 279332083475 335198500170 368718350187 402238200204 446931333560 491624466916 502797750255 558664166950 614530583645 670397000340 737436700374 804476400408 837996250425 983248933832 1005595500510 1106155050561 1117328333900 1229061167290 1340794000680 1474873400748 1675992500850 1843591750935 2011191001020 2212310101122 2234656667800 2458122334580 2513988751275 2949746801496 3072652918225 3351985001700 3687183501870 4022382002040 4424620202244 4916244669160 5027977502550 5530775252805 6145305836450 6703970003400 7374367003740 8849240404488 9217958754675 10055955005100 11061550505610 12290611672900 14748734007480 18435917509350 20111910010200 22123101011220 24581223345800 27653876264025 36871835018700 44246202022440 55307752528050 73743670037400 110615505056100 221231010112200