Base | Representation |
---|---|
bin | 1100000011011… |
… | …01100100111000 |
3 | 21001021000202100 |
4 | 12001231210320 |
5 | 201341041440 |
6 | 14011103400 |
7 | 2335303344 |
oct | 601554470 |
9 | 231230670 |
10 | 101112120 |
11 | 5209103a |
12 | 29a41b60 |
13 | 17c42a75 |
14 | d600624 |
15 | 8d24230 |
hex | 606d938 |
101112120 has 96 divisors (see below), whose sum is σ = 337540320. Its totient is φ = 26231040.
The previous prime is 101112119. The next prime is 101112133. The reversal of 101112120 is 21211101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9525 + ... + 17115.
It is an arithmetic number, because the mean of its divisors is an integer number (3516045).
Almost surely, 2101112120 is an apocalyptic number.
101112120 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 101112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168770160).
101112120 is an abundant number, since it is smaller than the sum of its proper divisors (236428200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101112120 is a wasteful number, since it uses less digits than its factorization.
101112120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7645 (or 7638 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 101112120 is about 10055.4522523853. The cubic root of 101112120 is about 465.8732117753.
Adding to 101112120 its reverse (21211101), we get a palindrome (122323221).
It can be divided in two parts, 1011 and 12120, that added together give a palindrome (13131).
The spelling of 101112120 in words is "one hundred one million, one hundred twelve thousand, one hundred twenty".
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