Base | Representation |
---|---|
bin | 101101110001… |
… | …101101100100 |
3 | 211120200001011 |
4 | 231301231210 |
5 | 11033000400 |
6 | 1105112004 |
7 | 203666500 |
oct | 55615544 |
9 | 24520034 |
10 | 12000100 |
11 | 6856942 |
12 | 4028604 |
13 | 2642068 |
14 | 1845300 |
15 | 10c08ba |
hex | b71b64 |
12000100 has 108 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 3931200.
The previous prime is 12000097. The next prime is 12000127. The reversal of 12000100 is 100021.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 12000100.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151861 + ... + 151939.
Almost surely, 212000100 is an apocalyptic number.
12000100 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 12000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).
12000100 is an abundant number, since it is smaller than the sum of its proper divisors (19664540).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
12000100 is a wasteful number, since it uses less digits than its factorization.
12000100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 138 (or 124 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 12000100 is about 3464.1160488644. The cubic root of 12000100 is about 228.9434844613.
Adding to 12000100 its reverse (100021), we get a palindrome (12100121).
It can be divided in two parts, 12000 and 100, that added together give a square (12100 = 1102).
The spelling of 12000100 in words is "twelve million, one hundred", and thus it is an aban number.
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