Base | Representation |
---|---|
bin | 111011101010111… |
… | …110000100010110 |
3 | 2120202210011111100 |
4 | 323222332010112 |
5 | 4022241320042 |
6 | 243201250530 |
7 | 33544244160 |
oct | 7352760426 |
9 | 2522704440 |
10 | 1001120022 |
11 | 474119321 |
12 | 23b333a46 |
13 | 12c53cc16 |
14 | 96d5d930 |
15 | 5cd5324c |
hex | 3babe116 |
1001120022 has 96 divisors (see below), whose sum is σ = 2568443904. Its totient is φ = 275889600.
The previous prime is 1001120009. The next prime is 1001120039. The reversal of 1001120022 is 2200211001.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1001119986 and 1001120013.
It is a congruent number.
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 419272 + ... + 421652.
It is an arithmetic number, because the mean of its divisors is an integer number (26754624).
Almost surely, 21001120022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1001120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284221952).
1001120022 is an abundant number, since it is smaller than the sum of its proper divisors (1567323882).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001120022 is a wasteful number, since it uses less digits than its factorization.
1001120022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2514 (or 2511 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1001120022 is about 31640.4807485601. The cubic root of 1001120022 is about 1000.3732013701.
Adding to 1001120022 its reverse (2200211001), we get a palindrome (3201331023).
The spelling of 1001120022 in words is "one billion, one million, one hundred twenty thousand, twenty-two".
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