Base | Representation |
---|---|
bin | 1101011001000… |
… | …00100101011100 |
3 | 21211101000022010 |
4 | 12230200211130 |
5 | 212224043400 |
6 | 15051351220 |
7 | 2532540630 |
oct | 654404534 |
9 | 254330263 |
10 | 112331100 |
11 | 58454022 |
12 | 31752510 |
13 | 1a37040b |
14 | 10cc0dc0 |
15 | 9cdd450 |
hex | 6b2095c |
112331100 has 144 divisors (see below), whose sum is σ = 374976000. Its totient is φ = 25432320.
The previous prime is 112331041. The next prime is 112331101. The reversal of 112331100 is 1133211.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (112331101) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 312721 + ... + 313079.
It is an arithmetic number, because the mean of its divisors is an integer number (2604000).
Almost surely, 2112331100 is an apocalyptic number.
112331100 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 112331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488000).
112331100 is an abundant number, since it is smaller than the sum of its proper divisors (262644900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112331100 is a wasteful number, since it uses less digits than its factorization.
112331100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 532 (or 525 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
The square root of 112331100 is about 10598.6367047843. The cubic root of 112331100 is about 482.5029844017.
Adding to 112331100 its reverse (1133211), we get a palindrome (113464311).
It can be divided in two parts, 1123 and 31100, that added together give a palindrome (32223).
The spelling of 112331100 in words is "one hundred twelve million, three hundred thirty-one thousand, one hundred".
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