Base | Representation |
---|---|
bin | 1100101001100… |
… | …00110010100110 |
3 | 21101122202002200 |
4 | 12110300302212 |
5 | 204130343042 |
6 | 14310115330 |
7 | 2425613001 |
oct | 624606246 |
9 | 241582080 |
10 | 106106022 |
11 | 54992030 |
12 | 2b64bb46 |
13 | 18ca0b39 |
14 | 10140538 |
15 | 94adc4c |
hex | 6530ca6 |
106106022 has 48 divisors (see below), whose sum is σ = 251709120. Its totient is φ = 32036400.
The previous prime is 106105997. The next prime is 106106057. The reversal of 106106022 is 220601601.
It is a happy number.
106106022 is a `hidden beast` number, since 1 + 0 + 61 + 0 + 602 + 2 = 666.
It is a super-2 number, since 2×1061060222 = 22516975809328968, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 106105986 and 106106004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64729 + ... + 66347.
It is an arithmetic number, because the mean of its divisors is an integer number (5243940).
Almost surely, 2106106022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106106022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125854560).
106106022 is an abundant number, since it is smaller than the sum of its proper divisors (145603098).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106106022 is a wasteful number, since it uses less digits than its factorization.
106106022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1969 (or 1966 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 106106022 is about 10300.7777376274. Note that the first 4 decimals coincide. The cubic root of 106106022 is about 473.4200833968.
Adding to 106106022 its reverse (220601601), we get a palindrome (326707623).
The spelling of 106106022 in words is "one hundred six million, one hundred six thousand, twenty-two".
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