Base | Representation |
---|---|
bin | 10010101010101111… |
… | …01111000011110010 |
3 | 221212110120112021000 |
4 | 21111113233003302 |
5 | 131011142020033 |
6 | 4334254542430 |
7 | 503234315226 |
oct | 112527570362 |
9 | 27773515230 |
10 | 10022220018 |
11 | 4283311268 |
12 | 1b38507a16 |
13 | c3949a205 |
14 | 6b10a8786 |
15 | 3d9ceba13 |
hex | 2555ef0f2 |
10022220018 has 96 divisors (see below), whose sum is σ = 23821038720. Its totient is φ = 3122668800.
The previous prime is 10022220017. The next prime is 10022220053. The reversal of 10022220018 is 81002222001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is not an unprimeable number, because it can be changed into a prime (10022220011) 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 47 ways as a sum of consecutive naturals, for example, 2354380 + ... + 2358632.
It is an arithmetic number, because the mean of its divisors is an integer number (248135820).
Almost surely, 210022220018 is an apocalyptic number.
10022220018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10022220018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11910519360).
10022220018 is an abundant number, since it is smaller than the sum of its proper divisors (13798818702).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022220018 is a wasteful number, since it uses less digits than its factorization.
10022220018 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4449 (or 4426 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 10022220018 its reverse (81002222001), we get a palindrome (91024442019).
The spelling of 10022220018 in words is "ten billion, twenty-two million, two hundred twenty thousand, eighteen".
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