Base | Representation |
---|---|
bin | 111000111101110010… |
… | …0010110001101100100 |
3 | 102200202112122011012100 |
4 | 1301323210112031210 |
5 | 4001014021210040 |
6 | 132110523452100 |
7 | 11560335425346 |
oct | 1617344261544 |
9 | 380675564170 |
10 | 122332210020 |
11 | 47976386019 |
12 | 1b860987030 |
13 | b6c74293b7 |
14 | 5cc6d9b296 |
15 | 32aeadab30 |
hex | 1c7b916364 |
122332210020 has 144 divisors (see below), whose sum is σ = 388651011840. Its totient is φ = 31087296768.
The previous prime is 122332209953. The next prime is 122332210037. The reversal of 122332210020 is 20012233221.
122332210020 is a `hidden beast` number, since 1 + 223 + 322 + 100 + 20 = 666.
122332210020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
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 = 122332209975 and 122332210002.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 1058737 + ... + 1168583.
It is an arithmetic number, because the mean of its divisors is an integer number (2698965360).
Almost surely, 2122332210020 is an apocalyptic number.
122332210020 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 122332210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194325505920).
122332210020 is an abundant number, since it is smaller than the sum of its proper divisors (266318801820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122332210020 is a wasteful number, since it uses less digits than its factorization.
122332210020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 110154 (or 110149 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 122332210020 its reverse (20012233221), we get a palindrome (142344443241).
The spelling of 122332210020 in words is "one hundred twenty-two billion, three hundred thirty-two million, two hundred ten thousand, twenty".
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