Base | Representation |
---|---|
bin | 11001000011000… |
… | …11010100100100 |
3 | 112122101022020001 |
4 | 30201203110210 |
5 | 412242401040 |
6 | 32503351044 |
7 | 5131002433 |
oct | 1441432444 |
9 | 478338201 |
10 | 210122020 |
11 | a8676869 |
12 | 5a452484 |
13 | 346bc574 |
14 | 1dc9911a |
15 | 136a859a |
hex | c863524 |
210122020 has 48 divisors (see below), whose sum is σ = 462309120. Its totient is φ = 80068736.
The previous prime is 210121981. The next prime is 210122021. The reversal of 210122020 is 20221012.
210122020 is digitally balanced in base 3, 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 = 210121988 and 210122006.
It is not an unprimeable number, because it can be changed into a prime (210122021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134001 + ... + 135559.
It is an arithmetic number, because the mean of its divisors is an integer number (9631440).
Almost surely, 2210122020 is an apocalyptic number.
210122020 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 210122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231154560).
210122020 is an abundant number, since it is smaller than the sum of its proper divisors (252187100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210122020 is a wasteful number, since it uses less digits than its factorization.
210122020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1884 (or 1882 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 210122020 is about 14495.5862247789. The cubic root of 210122020 is about 594.5072963761.
Adding to 210122020 its reverse (20221012), we get a palindrome (230343032).
It can be divided in two parts, 21012 and 2020, that added together give a palindrome (23032).
The spelling of 210122020 in words is "two hundred ten million, one hundred twenty-two thousand, twenty".
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