Search a number
-
+
111000210000 = 2435419918593
BaseRepresentation
bin110011101100000100…
…0001100101001010000
3101121111210110220112220
41213120020030221100
53304312023210000
6122554235421040
711006455134411
oct1473010145120
9347453426486
10111000210000
11430907a7749
12196198b4780
13a60c7ab844
14552dd87808
152d49d1b1a0
hex19d820ca50

111000210000 has 200 divisors, whose sum is σ = 360143467200. Its totient is φ = 29449728000.

The previous prime is 111000209897. The next prime is 111000210017. The reversal of 111000210000 is 12000111.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5960704 + ... + 5979296.

It is an arithmetic number, because the mean of its divisors is an integer number (1800717336).

Almost surely, 2111000210000 is an apocalyptic number.

111000210000 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 111000210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180071733600).

111000210000 is an abundant number, since it is smaller than the sum of its proper divisors (249143257200).

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

111000210000 is a wasteful number, since it uses less digits than its factorization.

111000210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18823 (or 18802 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 111000210000 its reverse (12000111), we get a palindrome (111012210111).

The spelling of 111000210000 in words is "one hundred eleven billion, two hundred ten thousand".