| Base | Representation |
|---|---|
| bin | 11000001110010000110011… |
| … | …110111101010100000000000 |
| 3 | 111222012110220121011222101000 |
| 4 | 120032100303313222200000 |
| 5 | 102430420033143240000 |
| 6 | 1014324405553012000 |
| 7 | 31303525655541213 |
| oct | 3016206367524000 |
| 9 | 458173817158330 |
| 10 | 106533239040000 |
| 11 | 30a43547138813 |
| 12 | bb46a32254000 |
| 13 | 475a06ca75cc6 |
| 14 | 1c443444db77a |
| 15 | c4b292525000 |
| hex | 60e433dea800 |
106533239040000 has 1920 divisors, whose sum is σ = 420288877008000. Its totient is φ = 26562134016000.
The previous prime is 106533239039951. The next prime is 106533239040079. The reversal of 106533239040000 is 40932335601.
It is a happy number.
106533239040000 is a `hidden beast` number, since 10 + 6 + 5 + 3 + 3 + 239 + 0 + 400 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a super-2 number, since 2×1065332390400002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 159 ways as a sum of consecutive naturals, for example, 105166079494 + ... + 105166080506.
It is an arithmetic number, because the mean of its divisors is an integer number (218900456775).
Almost surely, 2106533239040000 is an apocalyptic number.
106533239040000 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 106533239040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210144438504000).
106533239040000 is an abundant number, since it is smaller than the sum of its proper divisors (313755637968000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106533239040000 is a wasteful number, since it uses less digits than its factorization.
106533239040000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1260 (or 1219 counting only the distinct ones).
The product of its (nonzero) digits is 58320, while the sum is 36.
The spelling of 106533239040000 in words is "one hundred six trillion, five hundred thirty-three billion, two hundred thirty-nine million, forty thousand".
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