Base | Representation |
---|---|
bin | 11001010010001… |
… | …10001110110100 |
3 | 112210002210112022 |
4 | 30221012032310 |
5 | 413244200040 |
6 | 33014012312 |
7 | 5153551256 |
oct | 1451061664 |
9 | 483083468 |
10 | 212100020 |
11 | a97a7980 |
12 | 5b047098 |
13 | 34c32992 |
14 | 20251cd6 |
15 | 139496b5 |
hex | ca463b4 |
212100020 has 96 divisors (see below), whose sum is σ = 512096256. Its totient is φ = 73040000.
The previous prime is 212100017. The next prime is 212100023. The reversal of 212100020 is 20001212.
It is an interprime number because it is at equal distance from previous prime (212100017) and next prime (212100023).
It is a junction number, because it is equal to n+sod(n) for n = 212099980 and 212100007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212100023) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 844895 + ... + 845145.
It is an arithmetic number, because the mean of its divisors is an integer number (5334336).
Almost surely, 2212100020 is an apocalyptic number.
212100020 is a gapful number since it is divisible by the number (20) 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 212100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256048128).
212100020 is an abundant number, since it is smaller than the sum of its proper divisors (299996236).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212100020 is a wasteful number, since it uses less digits than its factorization.
212100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 461 (or 459 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
The square root of 212100020 is about 14563.6540744416. The cubic root of 212100020 is about 596.3669534291.
Adding to 212100020 its reverse (20001212), we get a palindrome (232101232).
The spelling of 212100020 in words is "two hundred twelve million, one hundred thousand, twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.083 sec. • engine limits •