Base | Representation |
---|---|
bin | 10010101010101101… |
… | …11100000011110010 |
3 | 221212110011220201010 |
4 | 21111112330003302 |
5 | 131011113323442 |
6 | 4334250251350 |
7 | 503232455214 |
oct | 112526740362 |
9 | 27773156633 |
10 | 10022011122 |
11 | 4283189322 |
12 | 1b38426b56 |
13 | c394260c6 |
14 | 6b10525b4 |
15 | 3d9ca9b9c |
hex | 2555bc0f2 |
10022011122 has 64 divisors (see below), whose sum is σ = 22170495744. Its totient is φ = 3004108800.
The previous prime is 10022011121. The next prime is 10022011123. The reversal of 10022011122 is 22111022001.
10022011122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10022011121) and next prime (10022011123).
It is a junction number, because it is equal to n+sod(n) for n = 10022011098 and 10022011107.
It is not an unprimeable number, because it can be changed into a prime (10022011121) by changing a digit.
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 31 ways as a sum of consecutive naturals, for example, 2815768 + ... + 2819324.
It is an arithmetic number, because the mean of its divisors is an integer number (346413996).
Almost surely, 210022011122 is an apocalyptic number.
10022011122 is an abundant number, since it is smaller than the sum of its proper divisors (12148484622).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022011122 is a wasteful number, since it uses less digits than its factorization.
10022011122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4803.
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 10022011122 its reverse (22111022001), we get a palindrome (32133033123).
The spelling of 10022011122 in words is "ten billion, twenty-two million, eleven thousand, one hundred twenty-two".
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