Search a number
-
+
110002220200 = 2352769715229
BaseRepresentation
bin110011001110010100…
…1001010110010101000
3101111221020120202220201
41212130221022302220
53300241032021300
6122311225201544
710642646305225
oct1463451126250
9344836522821
10110002220200
1142719427194
121939b6302b4
13a4b0ac6632
14547760094c
152cdc3d566a
hex199ca4aca8

110002220200 has 48 divisors (see below), whose sum is σ = 256088101500. Its totient is φ = 43943608320.

The previous prime is 110002220183. The next prime is 110002220201. The reversal of 110002220200 is 2022200011.

It can be written as a sum of positive squares in 6 ways, for example, as 20994271236 + 89007948964 = 144894^2 + 298342^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110002220201) 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 11 ways as a sum of consecutive naturals, for example, 203815 + ... + 511414.

Almost surely, 2110002220200 is an apocalyptic number.

110002220200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002220200 is an abundant number, since it is smaller than the sum of its proper divisors (146085881300).

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

110002220200 is a wasteful number, since it uses less digits than its factorization.

110002220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716014 (or 716005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 110002220200 its reverse (2022200011), we get a palindrome (112024420211).

The spelling of 110002220200 in words is "one hundred ten billion, two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 769 1538 3076 3845 6152 7690 15380 19225 30760 38450 76900 153800 715229 1430458 2860916 3576145 5721832 7152290 14304580 17880725 28609160 35761450 71522900 143045800 550011101 1100022202 2200044404 2750055505 4400088808 5500111010 11000222020 13750277525 22000444040 27500555050 55001110100 110002220200