Base | Representation |
---|---|
bin | 11101110000001110011… |
… | …00110010101010011000 |
3 | 10121201210110002211122121 |
4 | 32320013030302222120 |
5 | 113222204142311300 |
6 | 2101352042031024 |
7 | 133601055131302 |
oct | 16700714625230 |
9 | 3551713084577 |
10 | 1022323010200 |
11 | 364623761958 |
12 | 146171aa8474 |
13 | 75535013c0b |
14 | 376a306a972 |
15 | 1b8d63eb81a |
hex | ee07332a98 |
1022323010200 has 192 divisors, whose sum is σ = 2445031008000. Its totient is φ = 397371287040.
The previous prime is 1022323010171. The next prime is 1022323010221. The reversal of 1022323010200 is 20103232201.
It is a congruent number.
It is an unprimeable number.
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, 1218501381 + ... + 1218502219.
It is an arithmetic number, because the mean of its divisors is an integer number (12734536500).
Almost surely, 21022323010200 is an apocalyptic number.
1022323010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1022323010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222515504000).
1022323010200 is an abundant number, since it is smaller than the sum of its proper divisors (1422707997800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022323010200 is a wasteful number, since it uses less digits than its factorization.
1022323010200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1874 (or 1865 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Adding to 1022323010200 its reverse (20103232201), we get a palindrome (1042426242401).
The spelling of 1022323010200 in words is "one trillion, twenty-two billion, three hundred twenty-three million, ten thousand, two hundred".
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