Search a number
-
+
110130220200 = 2335271113296323
BaseRepresentation
bin110011010010001000…
…1011100110010101000
3101112021011102211220110
41212210101130302220
53301021314021300
6122332040454320
710646062266120
oct1464421346250
9345234384813
10110130220200
1142784702510
121941647a3a0
13a501491990
14548a5ddc80
152ce876b550
hex19a445cca8

110130220200 has 768 divisors, whose sum is σ = 474269644800. Its totient is φ = 20392243200.

The previous prime is 110130220183. The next prime is 110130220223. The reversal of 110130220200 is 2022031011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17414239 + ... + 17420561.

It is an arithmetic number, because the mean of its divisors is an integer number (617538600).

Almost surely, 2110130220200 is an apocalyptic number.

110130220200 is a gapful number since it is divisible by the number (10) 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 110130220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237134822400).

110130220200 is an abundant number, since it is smaller than the sum of its proper divisors (364139424600).

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

110130220200 is a wasteful number, since it uses less digits than its factorization.

110130220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6402 (or 6393 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 110130220200 its reverse (2022031011), we get a palindrome (112152251211).

The spelling of 110130220200 in words is "one hundred ten billion, one hundred thirty million, two hundred twenty thousand, two hundred".