| Base | Representation |
|---|---|
| bin | 11111011001001010110111… |
| … | …111100101000011101010100 |
| 3 | 200002212021111022022101021200 |
| 4 | 133121022313330220131110 |
| 5 | 121044111011313301400 |
| 6 | 1205352023210112500 |
| 7 | 41040110062054404 |
| oct | 3731126774503524 |
| 9 | 602767438271250 |
| 10 | 138069104822100 |
| 11 | 3aaa1862244091 |
| 12 | 1359a873a1b730 |
| 13 | 5c06b25cc810a |
| 14 | 261481a5d0804 |
| 15 | 10e6763246b00 |
| hex | 7d92b7f28754 |
138069104822100 has 216 divisors, whose sum is σ = 434494579259832. Its totient is φ = 36671975424000.
The previous prime is 138069104822093. The next prime is 138069104822107. The reversal of 138069104822100 is 1228401960831.
138069104822100 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 69 + 1 + 0 + 482 + 2 + 100 = 666.
It is an interprime number because it is at equal distance from previous prime (138069104822093) and next prime (138069104822107).
It can be written as a sum of positive squares in 12 ways, for example, as 534051100944 + 137535053721156 = 730788^2 + 11727534^2 .
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (138069104822107) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 242601474 + ... + 243169926.
Almost surely, 2138069104822100 is an apocalyptic number.
138069104822100 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 138069104822100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217247289629916).
138069104822100 is an abundant number, since it is smaller than the sum of its proper divisors (296425474437732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
138069104822100 is a wasteful number, since it uses less digits than its factorization.
138069104822100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 569547 (or 569537 counting only the distinct ones).
The product of its (nonzero) digits is 165888, while the sum is 45.
The spelling of 138069104822100 in words is "one hundred thirty-eight trillion, sixty-nine billion, one hundred four million, eight hundred twenty-two thousand, one hundred".
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