Base | Representation |
---|---|
bin | 111000111110000001… |
… | …1010011001100100100 |
3 | 102200210002220101200000 |
4 | 1301330003103030210 |
5 | 4001023110333012 |
6 | 132111413421300 |
7 | 11560464411555 |
oct | 1617403231444 |
9 | 380702811600 |
10 | 122340324132 |
11 | 4797aa182a4 |
12 | 1b86363a830 |
13 | b6c900a750 |
14 | 5cc80b032c |
15 | 32b068eddc |
hex | 1c7c0d3324 |
122340324132 has 144 divisors (see below), whose sum is σ = 363550474560. Its totient is φ = 35661886848.
The previous prime is 122340324091. The next prime is 122340324157. The reversal of 122340324132 is 231423043221.
122340324132 is a `hidden beast` number, since 1 + 223 + 403 + 2 + 4 + 1 + 32 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 122340324096 and 122340324105.
It is an unprimeable number.
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, 14703 + ... + 494870.
Almost surely, 2122340324132 is an apocalyptic number.
122340324132 is a gapful number since it is divisible by the number (12) 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 122340324132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181775237280).
122340324132 is an abundant number, since it is smaller than the sum of its proper divisors (241210150428).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122340324132 is a wasteful number, since it uses less digits than its factorization.
122340324132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 509624 (or 509610 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 27.
Adding to 122340324132 its reverse (231423043221), we get a palindrome (353763367353).
The spelling of 122340324132 in words is "one hundred twenty-two billion, three hundred forty million, three hundred twenty-four thousand, one hundred thirty-two".
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