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10012222002200 = 2352119714686931
BaseRepresentation
bin1001000110110010011011…
…1011111001010000011000
31022110011021222002021221112
42101230212323321100120
52303020012313032300
633143315024555452
72052234123553625
oct221544673712030
938404258067845
1010012222002200
113210183336190
121158528a82b88
135781c12abba2
1426884641934c
15125692e16e35
hex91b26ef9418

10012222002200 has 96 divisors (see below), whose sum is σ = 25420794304320. Its totient is φ = 3637057680000.

The previous prime is 10012222002187. The next prime is 10012222002217. The reversal of 10012222002200 is 220022221001.

It is a congruent number.

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, 207266 + ... + 4479665.

It is an arithmetic number, because the mean of its divisors is an integer number (264799940670).

Almost surely, 210012222002200 is an apocalyptic number.

10012222002200 is a gapful number since it is divisible by the number (10) 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 10012222002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12710397152160).

10012222002200 is an abundant number, since it is smaller than the sum of its proper divisors (15408572302120).

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

10012222002200 is a wasteful number, since it uses less digits than its factorization.

10012222002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687929 (or 4687920 counting only the distinct ones).

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

Adding to 10012222002200 its reverse (220022221001), we get a palindrome (10232244223201).

The spelling of 10012222002200 in words is "ten trillion, twelve billion, two hundred twenty-two million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 971 1100 1942 2200 3884 4855 7768 9710 10681 19420 21362 24275 38840 42724 48550 53405 85448 97100 106810 194200 213620 267025 427240 534050 1068100 2136200 4686931 9373862 18747724 23434655 37495448 46869310 51556241 93738620 103112482 117173275 187477240 206224964 234346550 257781205 412449928 468693100 515562410 937386200 1031124820 1288906025 2062249640 2577812050 4551010001 5155624100 9102020002 10311248200 18204040004 22755050005 36408080008 45510100010 50061110011 91020200020 100122220022 113775250025 182040400040 200244440044 227550500050 250305550055 400488880088 455101000100 500611100110 910202000200 1001222200220 1251527750275 2002444400440 2503055500550 5006111001100 10012222002200