Search a number
-
+
112122100020200 = 23522732532051617
BaseRepresentation
bin11001011111100101110101…
…111100010111001111101000
3112200222202201221010022201112
4121133211311330113033220
5104144002030101121300
61034244103124005452
732421361106210114
oct3137456574271750
9480882657108645
10112122100020200
11327a8796498386
12106aa020530888
134a740b7b16c9a
141d98a4a9ca744
15ce6846c13e35
hex65f975f173e8

112122100020200 has 48 divisors (see below), whose sum is σ = 260684963611980. Its totient is φ = 44848654018560.

The previous prime is 112122100020197. The next prime is 112122100020223. The reversal of 112122100020200 is 2020001221211.

It can be written as a sum of positive squares in 6 ways, for example, as 63644941817284 + 48477158202916 = 7977778^2 + 6962554^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53624792 + ... + 55676408.

Almost surely, 2112122100020200 is an apocalyptic number.

112122100020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122100020200 is an abundant number, since it is smaller than the sum of its proper divisors (148562863591780).

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

112122100020200 is a wasteful number, since it uses less digits than its factorization.

112122100020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324886 (or 2324877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 112122100020200 its reverse (2020001221211), we get a palindrome (114142101241411).

The spelling of 112122100020200 in words is "one hundred twelve trillion, one hundred twenty-two billion, one hundred million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 273253 546506 1093012 1366265 2051617 2186024 2732530 4103234 5465060 6831325 8206468 10258085 10930120 13662650 16412936 20516170 27325300 41032340 51290425 54650600 82064680 102580850 205161700 410323400 560610500101 1121221000202 2242442000404 2803052500505 4484884000808 5606105001010 11212210002020 14015262502525 22424420004040 28030525005050 56061050010100 112122100020200