Base | Representation |
---|---|
bin | 111000110011111110… |
… | …1000011111010000000 |
3 | 102122220121102212220211 |
4 | 1301213331003322000 |
5 | 3444330301104240 |
6 | 132014130443504 |
7 | 11546231421211 |
oct | 1614775037200 |
9 | 378817385824 |
10 | 122003144320 |
11 | 4781765a0a2 |
12 | 1b78a733594 |
13 | b6741c2975 |
14 | 5c953bd408 |
15 | 3290c89bea |
hex | 1c67f43e80 |
122003144320 has 64 divisors (see below), whose sum is σ = 291713472000. Its totient is φ = 48792941568.
The previous prime is 122003144309. The next prime is 122003144339. The reversal of 122003144320 is 23441300221.
It is a tau number, because it is divible by the number of its divisors (64).
It is a junction number, because it is equal to n+sod(n) for n = 122003144291 and 122003144300.
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 7 ways as a sum of consecutive naturals, for example, 4907281 + ... + 4932079.
It is an arithmetic number, because the mean of its divisors is an integer number (4558023000).
Almost surely, 2122003144320 is an apocalyptic number.
122003144320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
122003144320 is an abundant number, since it is smaller than the sum of its proper divisors (169710327680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122003144320 is an equidigital number, since it uses as much as digits as its factorization.
122003144320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 32505 (or 32493 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
Adding to 122003144320 its reverse (23441300221), we get a palindrome (145444444541).
The spelling of 122003144320 in words is "one hundred twenty-two billion, three million, one hundred forty-four thousand, three hundred twenty".
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