Base | Representation |
---|---|
bin | 111111001011110… |
… | …0010110011110110 |
3 | 12110202100021222100 |
4 | 1332113202303312 |
5 | 13320221213420 |
6 | 550213042530 |
7 | 103352363541 |
oct | 17627426366 |
9 | 5422307870 |
10 | 2120101110 |
11 | 998818386 |
12 | 4b2026446 |
13 | 27a3082ca |
14 | 1617dd858 |
15 | c61d8190 |
hex | 7e5e2cf6 |
2120101110 has 144 divisors (see below), whose sum is σ = 6016576176. Its totient is φ = 517487616.
The previous prime is 2120101099. The next prime is 2120101133. The reversal of 2120101110 is 111010212.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 2120101092 and 2120101101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 961269 + ... + 963471.
It is an arithmetic number, because the mean of its divisors is an integer number (41781779).
Almost surely, 22120101110 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2120101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008288088).
2120101110 is an abundant number, since it is smaller than the sum of its proper divisors (3896475066).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120101110 is a wasteful number, since it uses less digits than its factorization.
2120101110 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2287 (or 2267 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
The square root of 2120101110 is about 46044.5557042307. Note that the first 3 decimals coincide. The cubic root of 2120101110 is about 1284.6520802034.
Adding to 2120101110 its reverse (111010212), we get a palindrome (2231111322).
The spelling of 2120101110 in words is "two billion, one hundred twenty million, one hundred one thousand, one hundred ten".
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