| Base | Representation |
|---|---|
| bin | 111110100101101… |
| … | …0100110001010100 |
| 3 | 12102100202011221200 |
| 4 | 1331023110301110 |
| 5 | 13300112330120 |
| 6 | 544220512500 |
| 7 | 103020505521 |
| oct | 17513246124 |
| 9 | 5370664850 |
| 10 | 2100120660 |
| 11 | 988510810 |
| 12 | 4a73ab730 |
| 13 | 276130a61 |
| 14 | 15ccbc148 |
| 15 | c458ce90 |
| hex | 7d2d4c54 |
2100120660 has 144 divisors (see below), whose sum is σ = 6977093760. Its totient is φ = 507098880.
The previous prime is 2100120647. The next prime is 2100120661. The reversal of 2100120660 is 660210012.
It is a happy number.
2100120660 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 1 + 2 + 0 + 660 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2100120661) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 530649 + ... + 534591.
It is an arithmetic number, because the mean of its divisors is an integer number (48452040).
Almost surely, 22100120660 is an apocalyptic number.
2100120660 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 2100120660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3488546880).
2100120660 is an abundant number, since it is smaller than the sum of its proper divisors (4876973100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100120660 is a wasteful number, since it uses less digits than its factorization.
2100120660 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4238 (or 4233 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 2100120660 is about 45827.0734391800. The cubic root of 2100120660 is about 1280.6036906578.
Adding to 2100120660 its reverse (660210012), we get a palindrome (2760330672).
It can be divided in two parts, 2100 and 120660, that added together give a triangular number (122760 = T495).
The spelling of 2100120660 in words is "two billion, one hundred million, one hundred twenty thousand, six hundred sixty".
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