Base | Representation |
---|---|
bin | 111000010110110001… |
… | …0111100101001100000 |
3 | 102120101022112120220100 |
4 | 1300231202330221200 |
5 | 3440323421022240 |
6 | 131333003342400 |
7 | 11513032254012 |
oct | 1605542745140 |
9 | 376338476810 |
10 | 121023220320 |
11 | 473644a8752 |
12 | 1b556521a00 |
13 | b549194692 |
14 | 5c011ba1b2 |
15 | 3234c21e30 |
hex | 1c2d8bca60 |
121023220320 has 288 divisors, whose sum is σ = 438240741120. Its totient is φ = 30308106240.
The previous prime is 121023220271. The next prime is 121023220327. The reversal of 121023220320 is 23022320121.
121023220320 is a `hidden beast` number, since 1 + 21 + 0 + 2 + 322 + 0 + 320 = 666.
121023220320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 121023220293 and 121023220302.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (121023220327) 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 47 ways as a sum of consecutive naturals, for example, 11720760 + ... + 11731080.
It is an arithmetic number, because the mean of its divisors is an integer number (1521669240).
Almost surely, 2121023220320 is an apocalyptic number.
121023220320 is a gapful number since it is divisible by the number (10) 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 121023220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219120370560).
121023220320 is an abundant number, since it is smaller than the sum of its proper divisors (317217520800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121023220320 is a wasteful number, since it uses less digits than its factorization.
121023220320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10838 (or 10827 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 121023220320 its reverse (23022320121), we get a palindrome (144045540441).
The spelling of 121023220320 in words is "one hundred twenty-one billion, twenty-three million, two hundred twenty thousand, three hundred twenty".
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