Search a number
-
+
11121100200 = 23335272391231
BaseRepresentation
bin10100101101101111…
…01000010110101000
31001201001022102111000
422112313220112220
5140234000201300
65035311435000
7542406535440
oct122667502650
931631272430
1011121100200
114797631201
1221a4525a60
131083048282
14776dd5120
15451510c00
hex296de85a8

11121100200 has 384 divisors, whose sum is σ = 43997184000. Its totient is φ = 2529273600.

The previous prime is 11121100183. The next prime is 11121100201. The reversal of 11121100200 is 200112111.

It is a happy number.

11121100200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11121100201) 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 95 ways as a sum of consecutive naturals, for example, 9033585 + ... + 9034815.

It is an arithmetic number, because the mean of its divisors is an integer number (114576000).

Almost surely, 211121100200 is an apocalyptic number.

11121100200 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 11121100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21998592000).

11121100200 is an abundant number, since it is smaller than the sum of its proper divisors (32876083800).

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

11121100200 is a wasteful number, since it uses less digits than its factorization.

11121100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11121100200 its reverse (200112111), we get a palindrome (11321212311).

The spelling of 11121100200 in words is "eleven billion, one hundred twenty-one million, one hundred thousand, two hundred".