Base | Representation |
---|---|
bin | 10010110101101101… |
… | …01100000001101110 |
3 | 222002212200121201000 |
4 | 21122312230001232 |
5 | 131203220021032 |
6 | 4351342501130 |
7 | 505432311165 |
oct | 113266540156 |
9 | 28085617630 |
10 | 10114220142 |
11 | 4320239324 |
12 | 1b632947a6 |
13 | c5256c660 |
14 | 6bd3b63dc |
15 | 3e2e20e7c |
hex | 25adac06e |
10114220142 has 128 divisors (see below), whose sum is σ = 25940113920. Its totient is φ = 2893432320.
The previous prime is 10114220113. The next prime is 10114220191. The reversal of 10114220142 is 24102241101.
10114220142 is a `hidden beast` number, since 101 + 1 + 422 + 0 + 142 = 666.
10114220142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
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 63 ways as a sum of consecutive naturals, for example, 985417 + ... + 995627.
It is an arithmetic number, because the mean of its divisors is an integer number (202657140).
Almost surely, 210114220142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10114220142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12970056960).
10114220142 is an abundant number, since it is smaller than the sum of its proper divisors (15825893778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10114220142 is a wasteful number, since it uses less digits than its factorization.
10114220142 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10335 (or 10329 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 10114220142 its reverse (24102241101), we get a palindrome (34216461243).
The spelling of 10114220142 in words is "ten billion, one hundred fourteen million, two hundred twenty thousand, one hundred forty-two".
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