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2200012111200 = 253521760952057
BaseRepresentation
bin100000000000111010111…
…100001011110101100000
321210022121121220211220110
4200000322330023311200
5242021111100024300
64402401022411320
7314642231253501
oct40007274136540
97708547824813
102200012111200
11779024534342
122b6463730b40
1312c5ca234027
14786a4404ba8
153c362545550
hex2003af0bd60

2200012111200 has 144 divisors (see below), whose sum is σ = 7161583660560. Its totient is φ = 586625310720.

The previous prime is 2200012111177. The next prime is 2200012111207. The reversal of 2200012111200 is 21112100022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2200012111207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42235572 + ... + 42287628.

It is an arithmetic number, because the mean of its divisors is an integer number (49733219865).

Almost surely, 22200012111200 is an apocalyptic number.

2200012111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2200012111200 is an abundant number, since it is smaller than the sum of its proper divisors (4961571549360).

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

2200012111200 is a wasteful number, since it uses less digits than its factorization.

2200012111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69689 (or 69676 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2200012111200 its reverse (21112100022), we get a palindrome (2221124211222).

The spelling of 2200012111200 in words is "two trillion, two hundred billion, twelve million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 17609 35218 52057 52827 70436 88045 104114 105654 140872 156171 176090 208228 211308 260285 264135 281744 312342 352180 416456 422616 440225 520570 528270 563488 624684 704360 780855 832912 845232 880450 1041140 1056540 1249368 1301425 1320675 1408720 1561710 1665824 1690464 1760900 2082280 2113080 2498736 2602850 2641350 2817440 3123420 3521800 3904275 4164560 4226160 4997472 5205700 5282700 6246840 7043600 7808550 8329120 8452320 10411400 10565400 12493680 14087200 15617100 20822800 21130800 24987360 31234200 41645600 42261600 62468400 124936800 916671713 1833343426 2750015139 3666686852 4583358565 5500030278 7333373704 9166717130 11000060556 13750075695 14666747408 18333434260 22000121112 22916792825 27500151390 29333494816 36666868520 44000242224 45833585650 55000302780 68750378475 73333737040 88000484448 91667171300 110000605560 137500756950 146667474080 183334342600 220001211120 275001513900 366668685200 440002422240 550003027800 733337370400 1100006055600 2200012111200