| Base | Representation |
|---|---|
| bin | 11000000111101101001000… |
| … | …111010101111000000000000 |
| 3 | 111220121101210020002110000000 |
| 4 | 120013231020322233000000 |
| 5 | 102401024201333202240 |
| 6 | 1013341403320000000 |
| 7 | 31226134142155260 |
| oct | 3007551072570000 |
| 9 | 456541706073000 |
| 10 | 106082620600320 |
| 11 | 3088a4288404a1 |
| 12 | ba93633000000 |
| 13 | 4726718514210 |
| 14 | 1c2a5d78217a0 |
| 15 | c3e6bbd25430 |
| hex | 607b48eaf000 |
106082620600320 has 3328 divisors, whose sum is σ = 497864675266560. Its totient is φ = 21051903836160.
The previous prime is 106082620600289. The next prime is 106082620600343. The reversal of 106082620600320 is 23006026280601.
106082620600320 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 8 + 2 + 6 + 20 + 600 + 3 + 20 = 666.
It is a tau number, because it is divible by the number of its divisors (3328).
It is a super-2 number, since 2×1060826206003202 (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 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 255 ways as a sum of consecutive naturals, for example, 69289757955 + ... + 69289759485.
Almost surely, 2106082620600320 is an apocalyptic number.
106082620600320 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 106082620600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248932337633280).
106082620600320 is an abundant number, since it is smaller than the sum of its proper divisors (391782054666240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106082620600320 is an equidigital number, since it uses as much as digits as its factorization.
106082620600320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1618 (or 1578 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
Adding to 106082620600320 its reverse (23006026280601), we get a palindrome (129088646880921).
The spelling of 106082620600320 in words is "one hundred six trillion, eighty-two billion, six hundred twenty million, six hundred thousand, three hundred twenty".
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