| Base | Representation |
|---|---|
| bin | 111111010001010… |
| … | …1000111111010000 |
| 3 | 12110221211002020000 |
| 4 | 1332202220333100 |
| 5 | 13321442310000 |
| 6 | 550355250000 |
| 7 | 103416200346 |
| oct | 17642507720 |
| 9 | 5427732200 |
| 10 | 2123010000 |
| 11 | 99a424921 |
| 12 | 4b2ba9900 |
| 13 | 27aab6347 |
| 14 | 161d59996 |
| 15 | c65b0000 |
| hex | 7e8a8fd0 |
2123010000 has 250 divisors, whose sum is σ = 7681230282. Its totient is φ = 565920000.
The previous prime is 2123009969. The next prime is 2123010007. The reversal of 2123010000 is 103212.
It is a happy number.
It can be written as a sum of positive squares in 5 ways, for example, as 488586816 + 1634423184 = 22104^2 + 40428^2 .
It is a tau number, because it is divible by the number of its divisors (250).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2123010007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 808690 + ... + 811310.
Almost surely, 22123010000 is an apocalyptic number.
2123010000 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 2123010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840615141).
2123010000 is an abundant number, since it is smaller than the sum of its proper divisors (5558220282).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2123010000 is an equidigital number, since it uses as much as digits as its factorization.
2123010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2661 (or 2631 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 2123010000 is about 46076.1326502127. The cubic root of 2123010000 is about 1285.2393483913.
Adding to 2123010000 its reverse (103212), we get a palindrome (2123113212).
The spelling of 2123010000 in words is "two billion, one hundred twenty-three million, ten thousand".
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