| Base | Representation |
|---|---|
| bin | 11101001100101000001… |
| … | …11010101010010001000 |
| 3 | 10112220110120222200222200 |
| 4 | 32212110013111102020 |
| 5 | 112414034324030440 |
| 6 | 2044511441520200 |
| 7 | 132323352051660 |
| oct | 16462407252210 |
| 9 | 3486416880880 |
| 10 | 1003212330120 |
| 11 | 357507230080 |
| 12 | 142519943060 |
| 13 | 737aa9636b0 |
| 14 | 367acd211a0 |
| 15 | 1b16879cc30 |
| hex | e9941d5488 |
1003212330120 has 1536 divisors, whose sum is σ = 4567136071680. Its totient is φ = 184265072640.
The previous prime is 1003212330061. The next prime is 1003212330137. The reversal of 1003212330120 is 210332123001.
1003212330120 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 212 + 330 + 120 = 666.
It is a super-3 number, since 3×10032123301203 (a number of 37 digits) contains 333 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 = 1003212330093 and 1003212330102.
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 383 ways as a sum of consecutive naturals, for example, 893331879 + ... + 893333001.
It is an arithmetic number, because the mean of its divisors is an integer number (2973395880).
Almost surely, 21003212330120 is an apocalyptic number.
1003212330120 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 1003212330120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283568035840).
1003212330120 is an abundant number, since it is smaller than the sum of its proper divisors (3563923741560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1003212330120 is a wasteful number, since it uses less digits than its factorization.
1003212330120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1275 (or 1268 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 1003212330120 its reverse (210332123001), we get a palindrome (1213544453121).
The spelling of 1003212330120 in words is "one trillion, three billion, two hundred twelve million, three hundred thirty thousand, one hundred twenty".
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