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222112011220100 = 2252191199121748017
BaseRepresentation
bin110010100000001001111011…
…100001110111010010000100
31002010102200220221210221212122
4302200021323201313102010
5213103040344333020400
62104220503241505112
764533030460450421
oct6240117341672204
91063380827727778
10222112011220100
11648541a1981751
1220ab29671a2198
1396c20c3ba9231
143cbc3c8a90d48
151aa299a877685
hexca027b877484

222112011220100 has 144 divisors (see below), whose sum is σ = 487351507507200. Its totient is φ = 87861443788800.

The previous prime is 222112011220063. The next prime is 222112011220199. The reversal of 222112011220100 is 1022110211222.

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, 4625671292 + ... + 4625719308.

It is an arithmetic number, because the mean of its divisors is an integer number (3384385468800).

Almost surely, 2222112011220100 is an apocalyptic number.

222112011220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222112011220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243675753753600).

222112011220100 is an abundant number, since it is smaller than the sum of its proper divisors (265239496287100).

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

222112011220100 is a wasteful number, since it uses less digits than its factorization.

222112011220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49638 (or 49631 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222112011220100 its reverse (1022110211222), we get a palindrome (223134121431322).

The spelling of 222112011220100 in words is "two hundred twenty-two trillion, one hundred twelve billion, eleven million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 199 382 398 764 796 955 995 1217 1910 1990 2434 3820 3980 4775 4868 4975 6085 9550 9950 12170 19100 19900 24340 30425 38009 48017 60850 76018 96034 121700 152036 190045 192068 232447 240085 242183 380090 464894 480170 484366 760180 929788 950225 960340 968732 1162235 1200425 1210915 1900450 2324470 2400850 2421830 3800900 4648940 4801700 4843660 5811175 6054575 9171247 9555383 11622350 12109150 18342494 19110766 23244700 24218300 36684988 38221532 45856235 46256953 47776915 58436689 91712470 92513906 95553830 116873378 183424940 185027812 191107660 229281175 231284765 233746756 238884575 292183445 458562350 462569530 477769150 584366890 917124700 925139060 955538300 1156423825 1168733780 1460917225 1825078153 2312847650 2921834450 3650156306 4625695300 5843668900 7300312612 9125390765 11161407599 11628901111 18250781530 22322815198 23257802222 36501563060 44645630396 45626953825 46515604444 55807037995 58144505555 91253907650 111614075990 116289011110 182507815300 223228151980 232578022220 279035189975 290722527775 558070379950 581445055550 1116140759900 1162890111100 2221120112201 4442240224402 8884480448804 11105600561005 22211201122010 44422402244020 55528002805025 111056005610050 222112011220100