Search a number
-
+
112201121100200 = 235211167305392273
BaseRepresentation
bin11001100000101111011011…
…111101110111000110101000
3112201021022201001020002221012
4121200233123331313012220
5104201300344000201300
61034344252232003052
732430156243255416
oct3140573375670650
9481238631202835
10112201121100200
1132829256869370
12107013b4530488
134a7b69c1b27a2
141d9c7c57442b6
15ce891e2b7435
hex660bdbf771a8

112201121100200 has 96 divisors (see below), whose sum is σ = 286286933338560. Its totient is φ = 40556093721600.

The previous prime is 112201121100157. The next prime is 112201121100209. The reversal of 112201121100200 is 2001121102211.

It is a super-2 number, since 2×1122011211002002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112201121100209) 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, 152328737 + ... + 153063536.

It is an arithmetic number, because the mean of its divisors is an integer number (2982155555610).

Almost surely, 2112201121100200 is an apocalyptic number.

112201121100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112201121100200 is an abundant number, since it is smaller than the sum of its proper divisors (174085812238360).

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

112201121100200 is a wasteful number, since it uses less digits than its factorization.

112201121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305392467 (or 305392458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112201121100200 its reverse (2001121102211), we get a palindrome (114202242202411).

The spelling of 112201121100200 in words is "one hundred twelve trillion, two hundred one billion, one hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 167 200 220 275 334 440 550 668 835 1100 1336 1670 1837 2200 3340 3674 4175 6680 7348 8350 9185 14696 16700 18370 33400 36740 45925 73480 91850 183700 367400 305392273 610784546 1221569092 1526961365 2443138184 3053922730 3359315003 6107845460 6718630006 7634806825 12215690920 13437260012 15269613650 16796575015 26874520024 30539227300 33593150030 51000509591 61078454600 67186300060 83982875075 102001019182 134372600120 167965750150 204002038364 255002547955 335931500300 408004076728 510005095910 561005605501 671863000600 1020010191820 1122011211002 1275012739775 2040020383640 2244022422004 2550025479550 2805028027505 4488044844008 5100050959100 5610056055010 10200101918200 11220112110020 14025140137525 22440224220040 28050280275050 56100560550100 112201121100200