| Base | Representation |
|---|---|
| bin | 111110100101110… |
| … | …1000011000110100 |
| 3 | 12102100220021011200 |
| 4 | 1331023220120310 |
| 5 | 13300122413022 |
| 6 | 544222332500 |
| 7 | 103021262010 |
| oct | 17513503064 |
| 9 | 5370807150 |
| 10 | 2100201012 |
| 11 | 988566118 |
| 12 | 4a742a130 |
| 13 | 27615b4c0 |
| 14 | 15ccdd540 |
| 15 | c45a6bac |
| hex | 7d2e8634 |
2100201012 has 288 divisors, whose sum is σ = 7087272192. Its totient is φ = 508612608.
The previous prime is 2100201011. The next prime is 2100201013. The reversal of 2100201012 is 2101020012.
2100201012 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (2100201011) and next prime (2100201013).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 2100200985 and 2100201003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2100201011) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2394318 + ... + 2395194.
It is an arithmetic number, because the mean of its divisors is an integer number (24608584).
Almost surely, 22100201012 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2100201012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543636096).
2100201012 is an abundant number, since it is smaller than the sum of its proper divisors (4987071180).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100201012 is a wasteful number, since it uses less digits than its factorization.
2100201012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 967 (or 962 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2100201012 is about 45827.9501178047. The cubic root of 2100201012 is about 1280.6200226964.
Adding to 2100201012 its reverse (2101020012), we get a palindrome (4201221024).
The spelling of 2100201012 in words is "two billion, one hundred million, two hundred one thousand, twelve".
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