Search a number
-
+
111116328 = 23337125131
BaseRepresentation
bin1101001111110…
…00000000101000
321202002021221120
412213320000220
5211421210303
615005335240
72516321211
oct647700050
9252067846
10111116328
11577a4384
1231267520
131a03650b
1410a86408
159b4d553
hex69f8028

111116328 has 32 divisors (see below), whose sum is σ = 285300960. Its totient is φ = 36037440.

The previous prime is 111116323. The next prime is 111116329. The reversal of 111116328 is 823611111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 111116298 and 111116307.

It is not an unprimeable number, because it can be changed into a prime (111116323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61678 + ... + 63453.

It is an arithmetic number, because the mean of its divisors is an integer number (8915655).

Almost surely, 2111116328 is an apocalyptic number.

It is an amenable number.

111116328 is an abundant number, since it is smaller than the sum of its proper divisors (174184632).

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

111116328 is a wasteful number, since it uses less digits than its factorization.

111116328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125177 (or 125173 counting only the distinct ones).

The product of its digits is 288, while the sum is 24.

The square root of 111116328 is about 10541.1729897578. The cubic root of 111116328 is about 480.7573807071.

Adding to 111116328 its reverse (823611111), we get a palindrome (934727439).

The spelling of 111116328 in words is "one hundred eleven million, one hundred sixteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 125131 250262 375393 500524 750786 1001048 1501572 3003144 4629847 9259694 13889541 18519388 27779082 37038776 55558164 111116328