| Base | Representation |
|---|---|
| bin | 111110101010000… |
| … | …0110011000100000 |
| 3 | 12102112002001110100 |
| 4 | 1331110012120200 |
| 5 | 13301204433044 |
| 6 | 544342102400 |
| 7 | 103046166234 |
| oct | 17524063040 |
| 9 | 5375061410 |
| 10 | 2102421024 |
| 11 | 989842040 |
| 12 | 4a811aa00 |
| 13 | 276757b12 |
| 14 | 15d31a5c4 |
| 15 | c4894869 |
| hex | 7d506620 |
2102421024 has 144 divisors (see below), whose sum is σ = 6612357024. Its totient is φ = 628300800.
The previous prime is 2102421011. The next prime is 2102421029. The reversal of 2102421024 is 4201242012.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2102420988 and 2102421006.
It is not an unprimeable number, because it can be changed into a prime (2102421029) 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 23 ways as a sum of consecutive naturals, for example, 226719 + ... + 235809.
It is an arithmetic number, because the mean of its divisors is an integer number (45919146).
Almost surely, 22102421024 is an apocalyptic number.
2102421024 is a gapful number since it is divisible by the number (24) 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 2102421024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3306178512).
2102421024 is an abundant number, since it is smaller than the sum of its proper divisors (4509936000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102421024 is a wasteful number, since it uses less digits than its factorization.
2102421024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9191 (or 9180 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
The square root of 2102421024 is about 45852.1648780077. The cubic root of 2102421024 is about 1281.0710891521.
Adding to 2102421024 its reverse (4201242012), we get a palindrome (6303663036).
The spelling of 2102421024 in words is "two billion, one hundred two million, four hundred twenty-one thousand, twenty-four".
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