| Base | Representation |
|---|---|
| bin | 111110101001011… |
| … | …1000000000100000 |
| 3 | 12102111110202002120 |
| 4 | 1331102320000200 |
| 5 | 13301114200000 |
| 6 | 544331144240 |
| 7 | 103043361300 |
| oct | 17522700040 |
| 9 | 5374422076 |
| 10 | 2102100000 |
| 11 | 989642930 |
| 12 | 4a7ba5080 |
| 13 | 276674970 |
| 14 | 15d275600 |
| 15 | c482e6a0 |
| hex | 7d4b8020 |
2102100000 has 864 divisors, whose sum is σ = 9425771712. Its totient is φ = 403200000.
The previous prime is 2102099959. The next prime is 2102100001. The reversal of 2102100000 is 12012.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102100001) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 161699994 + ... + 161700006.
It is an arithmetic number, because the mean of its divisors is an integer number (10909458).
Almost surely, 22102100000 is an apocalyptic number.
2102100000 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 2102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712885856).
2102100000 is an abundant number, since it is smaller than the sum of its proper divisors (7323671712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102100000 is a wasteful number, since it uses less digits than its factorization.
2102100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 76 (or 41 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 2102100000 is about 45848.6641026759. The cubic root of 2102100000 is about 1281.0058825016.
Adding to 2102100000 its reverse (12012), we get a palindrome (2102112012).
It can be divided in two parts, 210 and 2100000, that multiplied together give a square (441000000 = 210002).
The spelling of 2102100000 in words is "two billion, one hundred two million, one hundred thousand".
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