Search a number
-
+
111000100200 = 233521123734099
BaseRepresentation
bin110011101100000011…
…1110001110101101000
3101121111210021022221020
41213120013301311220
53304312011201300
6122554233212440
711006454166323
oct1473007616550
9347453238836
10111000100200
1143090732200
1219619861120
13a60c770882
14552dd597ba
152d49ce88a0
hex19d81f1d68

111000100200 has 288 divisors, whose sum is σ = 379332492000. Its totient is φ = 26830425600.

The previous prime is 111000100157. The next prime is 111000100201. The reversal of 111000100200 is 2001000111.

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 not an unprimeable number, because it can be changed into a prime (111000100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27077751 + ... + 27081849.

Almost surely, 2111000100200 is an apocalyptic number.

111000100200 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 111000100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189666246000).

111000100200 is an abundant number, since it is smaller than the sum of its proper divisors (268332391800).

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

111000100200 is a wasteful number, since it uses less digits than its factorization.

111000100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4513 (or 4493 counting only the distinct ones).

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

Adding to 111000100200 its reverse (2001000111), we get a palindrome (113001100311).

The spelling of 111000100200 in words is "one hundred eleven billion, one hundred thousand, two hundred".