| Base | Representation |
|---|---|
| bin | 1100010101110000101… |
| … | …1111001101000011100 |
| 3 | 202021012122102220200101 |
| 4 | 3011130023321220130 |
| 5 | 11433134001133040 |
| 6 | 241220320110444 |
| 7 | 21213362306014 |
| oct | 3053413715034 |
| 9 | 667178386611 |
| 10 | 212000021020 |
| 11 | 819aa537647 |
| 12 | 35106465424 |
| 13 | 16cb7490428 |
| 14 | a391b06c44 |
| 15 | 57abbeb09a |
| hex | 315c2f9a1c |
212000021020 has 72 divisors (see below), whose sum is σ = 458385927552. Its totient is φ = 82357808640.
The previous prime is 212000020933. The next prime is 212000021027. The reversal of 212000021020 is 20120000212.
212000021020 is digitally balanced in base 2, because in such base 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 (10).
It is a junction number, because it is equal to n+sod(n) for n = 212000020988 and 212000021006.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (212000021027) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7483122 + ... + 7511398.
It is an arithmetic number, because the mean of its divisors is an integer number (6366471216).
Almost surely, 2212000021020 is an apocalyptic number.
212000021020 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 212000021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229192963776).
212000021020 is an abundant number, since it is smaller than the sum of its proper divisors (246385906532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212000021020 is a wasteful number, since it uses less digits than its factorization.
212000021020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28591 (or 28548 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
Adding to 212000021020 its reverse (20120000212), we get a palindrome (232120021232).
The spelling of 212000021020 in words is "two hundred twelve billion, twenty-one thousand, twenty".
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