| Base | Representation |
|---|---|
| bin | 10110110000101001011110… |
| … | …111010001011011100100000 |
| 3 | 111010102110212002022222210100 |
| 4 | 112300221132322023130200 |
| 5 | 101110020001112010422 |
| 6 | 552521203503302400 |
| 7 | 30040664540062044 |
| oct | 2660513672133440 |
| 9 | 433373762288710 |
| 10 | 100100100110112 |
| 11 | 299932399a9503 |
| 12 | b2880a0baaa00 |
| 13 | 43b152560732b |
| 14 | 1aa0c29292024 |
| 15 | b88c776d17ac |
| hex | 5b0a5ee8b720 |
100100100110112 has 72 divisors (see below), whose sum is σ = 284991045328080. Its totient is φ = 33327856298880.
The previous prime is 100100100110089. The next prime is 100100100110117. The reversal of 100100100110112 is 211011001001001.
100100100110112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 100100100110094 and 100100100110103.
It is not an unprimeable number, because it can be changed into a prime (100100100110117) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202063314 + ... + 202558097.
It is an arithmetic number, because the mean of its divisors is an integer number (3958208962890).
Almost surely, 2100100100110112 is an apocalyptic number.
100100100110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
100100100110112 is an abundant number, since it is smaller than the sum of its proper divisors (184890945217968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100100100110112 is a wasteful number, since it uses less digits than its factorization.
100100100110112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 404622286 (or 404622275 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 9.
Adding to 100100100110112 its reverse (211011001001001), we get a palindrome (311111101111113).
The spelling of 100100100110112 in words is "one hundred trillion, one hundred billion, one hundred million, one hundred ten thousand, one hundred twelve".
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