Base | Representation |
---|---|
bin | 111000111010011110… |
… | …0010100110010100110 |
3 | 102200110210110220101000 |
4 | 1301310330110302212 |
5 | 4000302042231032 |
6 | 132051513214130 |
7 | 11554515553554 |
oct | 1616474246246 |
9 | 380423426330 |
10 | 122221055142 |
11 | 4791966578a |
12 | 1b82b701346 |
13 | b6aa3ab494 |
14 | 5cb6304bd4 |
15 | 32a4e80e7c |
hex | 1c74f14ca6 |
122221055142 has 128 divisors (see below), whose sum is σ = 282850099200. Its totient is φ = 39078288000.
The previous prime is 122221055123. The next prime is 122221055149. The reversal of 122221055142 is 241550122221.
122221055142 is a `hidden beast` number, since 1 + 22 + 22 + 105 + 514 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (122221055149) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 106186267 + ... + 106187417.
It is an arithmetic number, because the mean of its divisors is an integer number (2209766400).
Almost surely, 2122221055142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 122221055142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141425049600).
122221055142 is an abundant number, since it is smaller than the sum of its proper divisors (160629044058).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122221055142 is a wasteful number, since it uses less digits than its factorization.
122221055142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1699 (or 1693 counting only the distinct ones).
The product of its (nonzero) digits is 3200, while the sum is 27.
Adding to 122221055142 its reverse (241550122221), we get a palindrome (363771177363).
The spelling of 122221055142 in words is "one hundred twenty-two billion, two hundred twenty-one million, fifty-five thousand, one hundred forty-two".
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