Base | Representation |
---|---|
bin | 100111010111100… |
… | …1101110010111010 |
3 | 10102001200202111110 |
4 | 1032233031302322 |
5 | 10201134000442 |
6 | 335025341150 |
7 | 44510213211 |
oct | 11657156272 |
9 | 3361622443 |
10 | 1321000122 |
11 | 618740a42 |
12 | 30a4977b6 |
13 | 1808ab6a0 |
14 | c762a078 |
15 | 7ae8c69c |
hex | 4ebcdcba |
1321000122 has 96 divisors (see below), whose sum is σ = 2978337600. Its totient is φ = 388219392.
The previous prime is 1321000081. The next prime is 1321000127. The reversal of 1321000122 is 2210001231.
It is a junction number, because it is equal to n+sod(n) for n = 1321000098 and 1321000107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1321000127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9503529 + ... + 9503667.
It is an arithmetic number, because the mean of its divisors is an integer number (31024350).
Almost surely, 21321000122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1321000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489168800).
1321000122 is an abundant number, since it is smaller than the sum of its proper divisors (1657337478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1321000122 is a wasteful number, since it uses less digits than its factorization.
1321000122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 320 (or 283 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 1321000122 is about 36345.5653691066. The cubic root of 1321000122 is about 1097.2382847740.
Adding to 1321000122 its reverse (2210001231), we get a palindrome (3531001353).
It can be divided in two parts, 1 and 321000122, that added together give a palindrome (321000123).
The spelling of 1321000122 in words is "one billion, three hundred twenty-one million, one hundred twenty-two", and thus it is an aban number.
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