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10012222200200 = 23521122320408117
BaseRepresentation
bin1001000110110010011011…
…1100101001100110001000
31022110011021222110100112212
42101230212330221212020
52303020012340401300
633143315033124252
72052234125340113
oct221544674514610
938404258410485
1010012222200200
113210183460a20
121158528b59688
135781c134b04c
1426884646b57a
15125692e55935
hex91b26f29988

10012222200200 has 96 divisors (see below), whose sum is σ = 25508514850560. Its totient is φ = 3624481401600.

The previous prime is 10012222200191. The next prime is 10012222200217. The reversal of 10012222200200 is 200222221001.

It is a super-3 number, since 3×100122222002003 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9713459 + ... + 10694658.

It is an arithmetic number, because the mean of its divisors is an integer number (265713696360).

Almost surely, 210012222200200 is an apocalyptic number.

10012222200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012222200200 is an abundant number, since it is smaller than the sum of its proper divisors (15496292650360).

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

10012222200200 is a wasteful number, since it uses less digits than its factorization.

10012222200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20408367 (or 20408358 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 10012222200200 its reverse (200222221001), we get a palindrome (10212444421201).

It can be divided in two parts, 100122 and 22200200, that added together give a palindrome (22300322).

The spelling of 10012222200200 in words is "ten trillion, twelve billion, two hundred twenty-two million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 223 275 440 446 550 892 1100 1115 1784 2200 2230 2453 4460 4906 5575 8920 9812 11150 12265 19624 22300 24530 44600 49060 61325 98120 122650 245300 490600 20408117 40816234 81632468 102040585 163264936 204081170 224489287 408162340 448978574 510202925 816324680 897957148 1020405850 1122446435 1795914296 2040811700 2244892870 4081623400 4489785740 4551010091 5612232175 8979571480 9102020182 11224464350 18204040364 22448928700 22755050455 36408080728 44897857400 45510100910 50061111001 91020201820 100122222002 113775252275 182040403640 200244444004 227550504550 250305555005 400488888008 455101009100 500611110010 910202018200 1001222220020 1251527775025 2002444440040 2503055550050 5006111100100 10012222200200