Base | Representation |
---|---|
bin | 100011110001000… |
… | …0110100010100110 |
3 | 10002122020111220210 |
4 | 1013202012202212 |
5 | 4424212401042 |
6 | 315030440250 |
7 | 41511604011 |
oct | 10742064246 |
9 | 3078214823 |
10 | 1200122022 |
11 | 56648a490 |
12 | 295b03086 |
13 | 161837b98 |
14 | b5562378 |
15 | 70561a9c |
hex | 478868a6 |
1200122022 has 64 divisors (see below), whose sum is σ = 2743372800. Its totient is φ = 346644480.
The previous prime is 1200121963. The next prime is 1200122039. The reversal of 1200122022 is 2202210021.
It is a junction number, because it is equal to n+sod(n) for n = 1200121989 and 1200122007.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147238 + ... + 155174.
It is an arithmetic number, because the mean of its divisors is an integer number (42865200).
Almost surely, 21200122022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1200122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371686400).
1200122022 is an abundant number, since it is smaller than the sum of its proper divisors (1543250778).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1200122022 is a wasteful number, since it uses less digits than its factorization.
1200122022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8061.
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 1200122022 is about 34642.7773424707. Note that the first 3 decimals coincide. The cubic root of 1200122022 is about 1062.6945867740.
Adding to 1200122022 its reverse (2202210021), we get a palindrome (3402332043).
The spelling of 1200122022 in words is "one billion, two hundred million, one hundred twenty-two thousand, twenty-two".
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