| Base | Representation |
|---|---|
| bin | 110001100001010000… |
| … | …0000100010100100000 |
| 3 | 101011111011222201020000 |
| 4 | 1203002200010110200 |
| 5 | 3220242123320222 |
| 6 | 120504130420000 |
| 7 | 10453156332300 |
| oct | 1430240042440 |
| 9 | 334434881200 |
| 10 | 106342401312 |
| 11 | 41110571084 |
| 12 | 18739a31600 |
| 13 | a049800b24 |
| 14 | 520b51d600 |
| 15 | 2b75e599ac |
| hex | 18c2804520 |
106342401312 has 360 divisors, whose sum is σ = 364608608364. Its totient is φ = 30317027328.
The previous prime is 106342401311. The next prime is 106342401337. The reversal of 106342401312 is 213104243601.
It is a happy number.
106342401312 is a `hidden beast` number, since 1 + 0 + 6 + 342 + 4 + 0 + 1 + 312 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 80086736016 + 26255665296 = 282996^2 + 162036^2 .
It is a super-3 number, since 3×1063424013123 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (106342401311) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 108845368 + ... + 108846344.
Almost surely, 2106342401312 is an apocalyptic number.
106342401312 is a gapful number since it is divisible by the number (12) 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 106342401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182304304182).
106342401312 is an abundant number, since it is smaller than the sum of its proper divisors (258266207052).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106342401312 is an equidigital number, since it uses as much as digits as its factorization.
106342401312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1870 (or 1846 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
Adding to 106342401312 its reverse (213104243601), we get a palindrome (319446644913).
The spelling of 106342401312 in words is "one hundred six billion, three hundred forty-two million, four hundred one thousand, three hundred twelve".
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