Base | Representation |
---|---|
bin | 11011110010101101101001… |
… | …100000001100011100101100 |
3 | 121000210021210021021221201100 |
4 | 123302231221200030130230 |
5 | 112010123114021333030 |
6 | 1111544415015443100 |
7 | 34513662650652156 |
oct | 3362555140143454 |
9 | 530707707257640 |
10 | 122232244324140 |
11 | 35a46449373165 |
12 | 11861517386490 |
13 | 53285b3325742 |
14 | 2228102143ad6 |
15 | e1e81b756360 |
hex | 6f2b6980c72c |
122232244324140 has 144 divisors (see below), whose sum is σ = 390971332533600. Its totient is φ = 30825454224384.
The previous prime is 122232244324123. The next prime is 122232244324147. The reversal of 122232244324140 is 41423442232221.
122232244324140 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 322 + 4 + 4 + 324 + 1 + 4 + 0 = 666.
It is a super-3 number, since 3×1222322443241403 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 122232244324095 and 122232244324104.
It is not an unprimeable number, because it can be changed into a prime (122232244324147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29460367 + ... + 33352326.
It is an arithmetic number, because the mean of its divisors is an integer number (2715078698150).
Almost surely, 2122232244324140 is an apocalyptic number.
122232244324140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122232244324140 is an abundant number, since it is smaller than the sum of its proper divisors (268739088209460).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122232244324140 is a wasteful number, since it uses less digits than its factorization.
122232244324140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 62813296 (or 62813291 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
Adding to 122232244324140 its reverse (41423442232221), we get a palindrome (163655686556361).
The spelling of 122232244324140 in words is "one hundred twenty-two trillion, two hundred thirty-two billion, two hundred forty-four million, three hundred twenty-four thousand, one hundred forty".
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