Base | Representation |
---|---|
bin | 1100011001110111100… |
… | …0110000111111000000 |
3 | 202101001110120112201021 |
4 | 3012131320300333000 |
5 | 11442413142113440 |
6 | 241521533515224 |
7 | 21252605446432 |
oct | 3063570607700 |
9 | 671043515637 |
10 | 213102301120 |
11 | 82415769a35 |
12 | 35373642b14 |
13 | 1713195bb87 |
14 | a45827a652 |
15 | 582388284a |
hex | 319de30fc0 |
213102301120 has 224 divisors, whose sum is σ = 541456473600. Its totient is φ = 79714381824.
The previous prime is 213102301117. The next prime is 213102301121. The reversal of 213102301120 is 21103201312.
213102301120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-4 number, since 4×2131023011204 (a number of 46 digits) contains 4444 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 213102301094 and 213102301103.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213102301121) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68542126 + ... + 68545234.
It is an arithmetic number, because the mean of its divisors is an integer number (2417216400).
Almost surely, 2213102301120 is an apocalyptic number.
213102301120 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 213102301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270728236800).
213102301120 is an abundant number, since it is smaller than the sum of its proper divisors (328354172480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213102301120 is a wasteful number, since it uses less digits than its factorization.
213102301120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3355 (or 3345 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 16.
Adding to 213102301120 its reverse (21103201312), we get a palindrome (234205502432).
The spelling of 213102301120 in words is "two hundred thirteen billion, one hundred two million, three hundred one thousand, one hundred twenty".
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