Base | Representation |
---|---|
bin | 111100001111001… |
… | …0011011111110100 |
3 | 12012212021010000100 |
4 | 1320132103133310 |
5 | 13114412210400 |
6 | 532321314100 |
7 | 101042000550 |
oct | 17036233764 |
9 | 5185233010 |
10 | 2021210100 |
11 | 947a14078 |
12 | 484a95930 |
13 | 262992510 |
14 | 15261a860 |
15 | bc6a2100 |
hex | 787937f4 |
2021210100 has 864 divisors, whose sum is σ = 8644446720. Its totient is φ = 383201280.
The previous prime is 2021210099. The next prime is 2021210143. The reversal of 2021210100 is 10121202.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
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 287 ways as a sum of consecutive naturals, for example, 54627282 + ... + 54627318.
Almost surely, 22021210100 is an apocalyptic number.
2021210100 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 2021210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4322223360).
2021210100 is an abundant number, since it is smaller than the sum of its proper divisors (6623236620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2021210100 is a wasteful number, since it uses less digits than its factorization.
2021210100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 129 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2021210100 is about 44957.8702787399. The cubic root of 2021210100 is about 1264.3592395100.
Adding to 2021210100 its reverse (10121202), we get a palindrome (2031331302).
The spelling of 2021210100 in words is "two billion, twenty-one million, two hundred ten thousand, one hundred".
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