Base | Representation |
---|---|
bin | 1101010000100… |
… | …11110010010100 |
3 | 21202022002000100 |
4 | 12220103302110 |
5 | 211433330400 |
6 | 15012014100 |
7 | 2520304002 |
oct | 650236224 |
9 | 252262010 |
10 | 111230100 |
11 | 57871903 |
12 | 31301330 |
13 | 1a076237 |
14 | 10ab5a72 |
15 | 9b72100 |
hex | 6a13c94 |
111230100 has 108 divisors (see below), whose sum is σ = 353629276. Its totient is φ = 29237760.
The previous prime is 111230087. The next prime is 111230101. The reversal of 111230100 is 1032111.
It can be written as a sum of positive squares in 6 ways, for example, as 3111696 + 108118404 = 1764^2 + 10398^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (111230101) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64854 + ... + 66546.
Almost surely, 2111230100 is an apocalyptic number.
111230100 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 111230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176814638).
111230100 is an abundant number, since it is smaller than the sum of its proper divisors (242399176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
111230100 is a wasteful number, since it uses less digits than its factorization.
111230100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1786 (or 1776 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 111230100 is about 10546.5681622033. The cubic root of 111230100 is about 480.9214072198.
Adding to 111230100 its reverse (1032111), we get a palindrome (112262211).
The spelling of 111230100 in words is "one hundred eleven million, two hundred thirty thousand, one hundred".
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