Base | Representation |
---|---|
bin | 110001011010001101… |
… | …0010010101000111100 |
3 | 101010212201011120220220 |
4 | 1202310122102220330 |
5 | 3214301114143301 |
6 | 120424443541340 |
7 | 10444256112330 |
oct | 1426432225074 |
9 | 333781146826 |
10 | 106106006076 |
11 | 40aaa08a914 |
12 | 1869282a850 |
13 | a00c8429a5 |
14 | 51c7d857c0 |
15 | 2b60311936 |
hex | 18b4692a3c |
106106006076 has 48 divisors (see below), whose sum is σ = 295251500544. Its totient is φ = 28997914176.
The previous prime is 106106006057. The next prime is 106106006077. The reversal of 106106006076 is 670600601601.
106106006076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1061060060762 (a number of 23 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106106006077) 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 15 ways as a sum of consecutive naturals, for example, 27458215 + ... + 27462078.
It is an arithmetic number, because the mean of its divisors is an integer number (6151072928).
Almost surely, 2106106006076 is an apocalyptic number.
It is an amenable number.
106106006076 is an abundant number, since it is smaller than the sum of its proper divisors (189145494468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106106006076 is a wasteful number, since it uses less digits than its factorization.
106106006076 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 54920330 (or 54920328 counting only the distinct ones).
The product of its (nonzero) digits is 9072, while the sum is 33.
Adding to 106106006076 its reverse (670600601601), we get a palindrome (776706607677).
The spelling of 106106006076 in words is "one hundred six billion, one hundred six million, six thousand, seventy-six".
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