Base | Representation |
---|---|
bin | 111000111101110001… |
… | …1111011101000000000 |
3 | 102200202112102121211000 |
4 | 1301323203323220000 |
5 | 4001014004213440 |
6 | 132110521252000 |
7 | 11560334463015 |
oct | 1617343735000 |
9 | 380675377730 |
10 | 122332101120 |
11 | 47976311219 |
12 | 1b860934000 |
13 | b6c73bb968 |
14 | 5cc6d6d70c |
15 | 32aeab8730 |
hex | 1c7b8fba00 |
122332101120 has 160 divisors (see below), whose sum is σ = 434534063040. Its totient is φ = 32621875200.
The previous prime is 122332101119. The next prime is 122332101163. The reversal of 122332101120 is 21101233221.
122332101120 is a `hidden beast` number, since 1 + 223 + 321 + 0 + 1 + 120 = 666.
122332101120 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 (160).
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 = 122332101093 and 122332101102.
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 15 ways as a sum of consecutive naturals, for example, 815806 + ... + 954045.
It is an arithmetic number, because the mean of its divisors is an integer number (2715837894).
Almost surely, 2122332101120 is an apocalyptic number.
122332101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122332101120 is an abundant number, since it is smaller than the sum of its proper divisors (312201961920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122332101120 is an equidigital number, since it uses as much as digits as its factorization.
122332101120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1769883 (or 1769861 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 122332101120 its reverse (21101233221), we get a palindrome (143433334341).
The spelling of 122332101120 in words is "one hundred twenty-two billion, three hundred thirty-two million, one hundred one thousand, one hundred twenty".
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