Search a number
-
+
111310080 = 2835741101
BaseRepresentation
bin1101010001001…
…11010100000000
321202110010201120
412220213110000
5211443410310
615013432240
72521056120
oct650472400
9252403646
10111310080
1157916a02
123133b680
131a0a376b
1410ad6c80
159b8ab70
hex6a27500

111310080 has 288 divisors, whose sum is σ = 420311808. Its totient is φ = 24576000.

The previous prime is 111310051. The next prime is 111310093. The reversal of 111310080 is 80013111.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1102030 + ... + 1102130.

It is an arithmetic number, because the mean of its divisors is an integer number (1459416).

Almost surely, 2111310080 is an apocalyptic number.

111310080 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 111310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210155904).

111310080 is an abundant number, since it is smaller than the sum of its proper divisors (309001728).

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

111310080 is a wasteful number, since it uses less digits than its factorization.

111310080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 111310080 is about 10550.3592355900. The cubic root of 111310080 is about 481.0366484438.

Adding to 111310080 its reverse (80013111), we get a palindrome (191323191).

The spelling of 111310080 in words is "one hundred eleven million, three hundred ten thousand, eighty".