| Base | Representation |
|---|---|
| bin | 110011001110100101… |
| … | …1110110011110000000 |
| 3 | 101111221212200200112001 |
| 4 | 1212131023312132000 |
| 5 | 3300300343441000 |
| 6 | 122312152113344 |
| 7 | 10643116503022 |
| oct | 1463513663600 |
| 9 | 344855620461 |
| 10 | 110011312000 |
| 11 | 42723576a77 |
| 12 | 193a2695854 |
| 13 | a4b295a9b5 |
| 14 | 54788ca012 |
| 15 | 2cdd0ce46a |
| hex | 199d2f6780 |
110011312000 has 128 divisors (see below), whose sum is σ = 282339982080. Its totient is φ = 42584832000.
The previous prime is 110011311979. The next prime is 110011312001. The reversal of 110011312000 is 213110011.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1100113120002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (110011312001) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 385102 + ... + 606898.
It is an arithmetic number, because the mean of its divisors is an integer number (2205781110).
Almost surely, 2110011312000 is an apocalyptic number.
110011312000 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 110011312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141169991040).
110011312000 is an abundant number, since it is smaller than the sum of its proper divisors (172328670080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110011312000 is an equidigital number, since it uses as much as digits as its factorization.
110011312000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 221857 (or 221835 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 10.
Adding to 110011312000 its reverse (213110011), we get a palindrome (110224422011).
The spelling of 110011312000 in words is "one hundred ten billion, eleven million, three hundred twelve thousand".
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