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201120221200 = 245219223118669
BaseRepresentation
bin1011101101001110110…
…0110000100000010000
3201020010102011211002111
42323103230300200100
511243343234034300
6232220544155104
720346642450013
oct2732354604020
9636112154074
10201120221200
1178327137a48
1232b8a908a94
1315c7242cb62
149a3cba537a
1553719a19ba
hex2ed3b30810

201120221200 has 120 divisors (see below), whose sum is σ = 510907577600. Its totient is φ = 75871572480.

The previous prime is 201120221191. The next prime is 201120221207. The reversal of 201120221200 is 2122021102.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (201120221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635466 + ... + 1754134.

Almost surely, 2201120221200 is an apocalyptic number.

201120221200 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 201120221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255453788800).

201120221200 is an abundant number, since it is smaller than the sum of its proper divisors (309787356400).

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

201120221200 is a wasteful number, since it uses less digits than its factorization.

201120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118929 (or 118918 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 201120221200 its reverse (2122021102), we get a palindrome (203242242302).

The spelling of 201120221200 in words is "two hundred one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 223 304 380 400 446 475 760 892 950 1115 1520 1784 1900 2230 3568 3800 4237 4460 5575 7600 8474 8920 11150 16948 17840 21185 22300 33896 42370 44600 67792 84740 89200 105925 118669 169480 211850 237338 338960 423700 474676 593345 847400 949352 1186690 1694800 1898704 2254711 2373380 2966725 4509422 4746760 5933450 9018844 9493520 11273555 11866900 18037688 22547110 23733800 26463187 36075376 45094220 47467600 52926374 56367775 90188440 105852748 112735550 132315935 180376880 211705496 225471100 264631870 423410992 450942200 502800553 529263740 661579675 901884400 1005601106 1058527480 1323159350 2011202212 2117054960 2514002765 2646318700 4022404424 5028005530 5292637400 8044808848 10056011060 10585274800 12570013825 20112022120 25140027650 40224044240 50280055300 100560110600 201120221200