Search a number
-
+
110210010001220 = 22541220589609289
BaseRepresentation
bin11001000011110001000100…
…011111110010111101000100
3112110012222022002102012211102
4121003301010133302331010
5103421140100030014340
61030221440222555232
732133260534211563
oct3103610437627504
9473188262365742
10110210010001220
1132130891527478
121043b531438b18
1349659b43a007c
141d3029b629bda
15cb1c3686d215
hex643c447f2f44

110210010001220 has 48 divisors (see below), whose sum is σ = 237087387860400. Its totient is φ = 43008518830080.

The previous prime is 110210010001199. The next prime is 110210010001309. The reversal of 110210010001220 is 22100010012011.

It can be written as a sum of positive squares in 8 ways, for example, as 4366695632896 + 105843314368324 = 2089664^2 + 10288018^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180578336 + ... + 181187624.

It is an arithmetic number, because the mean of its divisors is an integer number (4939320580425).

Almost surely, 2110210010001220 is an apocalyptic number.

110210010001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110210010001220 is an abundant number, since it is smaller than the sum of its proper divisors (126877377859180).

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

110210010001220 is a wasteful number, since it uses less digits than its factorization.

110210010001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829928 (or 829926 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 110210010001220 its reverse (22100010012011), we get a palindrome (132310020013231).

The spelling of 110210010001220 in words is "one hundred ten trillion, two hundred ten billion, ten million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 220589 441178 609289 882356 1102945 1218578 2205890 2437156 3046445 4411780 6092890 9044149 12185780 18088298 24980849 36176596 45220745 49961698 90441490 99923396 124904245 180882980 249808490 499616980 134402451221 268804902442 537609804884 672012256105 1344024512210 2688049024420 5510500500061 11021001000122 22042002000244 27552502500305 55105005000610 110210010001220