| Base | Representation |
|---|---|
| bin | 111110100101101… |
| … | …0100100111000000 |
| 3 | 12102100202011001020 |
| 4 | 1331023110213000 |
| 5 | 13300112320000 |
| 6 | 544220505440 |
| 7 | 103020503556 |
| oct | 17513244700 |
| 9 | 5370664036 |
| 10 | 2100120000 |
| 11 | 988510270 |
| 12 | 4a73ab280 |
| 13 | 276130674 |
| 14 | 15ccbbbd6 |
| 15 | c458cba0 |
| hex | 7d2d49c0 |
2100120000 has 560 divisors, whose sum is σ = 7960351872. Its totient is φ = 483840000.
The previous prime is 2100119981. The next prime is 2100120019. The reversal of 2100120000 is 210012.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2100119981) and next prime (2100120019).
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 an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48839979 + ... + 48840021.
Almost surely, 22100120000 is an apocalyptic number.
2100120000 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 2100120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3980175936).
2100120000 is an abundant number, since it is smaller than the sum of its proper divisors (5860231872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100120000 is a wasteful number, since it uses less digits than its factorization.
2100120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 126 (or 101 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 2100120000 is about 45827.0662381960. The cubic root of 2100120000 is about 1280.6035565070.
Adding to 2100120000 its reverse (210012), we get a palindrome (2100330012).
Multiplying 2100120000 by its reverse (210012), we get a square (441050401440000 = 210012002).
2100120000 divided by its reverse (210012) gives a 4-th power (10000 = 104).
The spelling of 2100120000 in words is "two billion, one hundred million, one hundred twenty thousand".
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