Base | Representation |
---|---|
bin | 101110010001… |
… | …101100011100 |
3 | 211211022202000 |
4 | 232101230130 |
5 | 11101143400 |
6 | 1112002300 |
7 | 205053432 |
oct | 56215434 |
9 | 24738660 |
10 | 12131100 |
11 | 6936303 |
12 | 4090390 |
13 | 2689887 |
14 | 187ad52 |
15 | 10e9600 |
hex | b91b1c |
12131100 has 72 divisors (see below), whose sum is σ = 39007920. Its totient is φ = 3234240.
The previous prime is 12131099. The next prime is 12131113. The reversal of 12131100 is 113121.
12131100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
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, 454 + ... + 4946.
Almost surely, 212131100 is an apocalyptic number.
12131100 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 12131100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503960).
12131100 is an abundant number, since it is smaller than the sum of its proper divisors (26876820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12131100 is a wasteful number, since it uses less digits than its factorization.
12131100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4516 (or 4503 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 12131100 is about 3482.9728681114. The cubic root of 12131100 is about 229.7735641658.
Adding to 12131100 its reverse (113121), we get a palindrome (12244221).
The spelling of 12131100 in words is "twelve million, one hundred thirty-one thousand, one hundred".
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