Base | Representation |
---|---|
bin | 111111010011001… |
… | …1011101101110100 |
3 | 12111000200121000200 |
4 | 1332212123231310 |
5 | 13322221113322 |
6 | 550432440500 |
7 | 103430511051 |
oct | 17646335564 |
9 | 5430617020 |
10 | 2124004212 |
11 | 99aa43890 |
12 | 4b33a9130 |
13 | 27b073a35 |
14 | 162138028 |
15 | c67098ac |
hex | 7e99bb74 |
2124004212 has 72 divisors (see below), whose sum is σ = 5886753600. Its totient is φ = 640379520.
The previous prime is 2124004187. The next prime is 2124004217.
2124004212 is a `hidden beast` number, since 2 + 1 + 240 + 0 + 421 + 2 = 666.
2124004212 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×21240042122 = 9022787785187481888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
2124004212 is a modest number, since divided by 4212 gives 2124 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2124004217) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65328 + ... + 92280.
Almost surely, 22124004212 is an apocalyptic number.
2124004212 is a gapful number since it is divisible by the number (22) 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 2124004212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943376800).
2124004212 is an abundant number, since it is smaller than the sum of its proper divisors (3762749388).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2124004212 is a wasteful number, since it uses less digits than its factorization.
2124004212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27173 (or 27168 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2124004212 is about 46086.9201834967. The cubic root of 2124004212 is about 1285.4399442386.
It can be divided in two parts, 212400 and 4212, that added together give a palindrome (216612).
The spelling of 2124004212 in words is "two billion, one hundred twenty-four million, four thousand, two hundred twelve".
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