| Base | Representation |
|---|---|
| bin | 10010101000001110… |
| … | …01101100001010000 |
| 3 | 221210222212002021222 |
| 4 | 21110013031201100 |
| 5 | 130440241023440 |
| 6 | 4332222304212 |
| 7 | 502560020240 |
| oct | 112407154120 |
| 9 | 27728762258 |
| 10 | 10001111120 |
| 11 | 42724038a0 |
| 12 | 1b31428068 |
| 13 | c34cb9140 |
| 14 | 6ac371b20 |
| 15 | 3d802c2b5 |
| hex | 2541cd850 |
10001111120 has 320 divisors, whose sum is σ = 31677972480. Its totient is φ = 2835302400.
The previous prime is 10001111093. The next prime is 10001111123. The reversal of 10001111120 is 2111110001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a junction number, because it is equal to n+sod(n) for n = 10001111098 and 10001111107.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10001111123) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5684801 + ... + 5686559.
It is an arithmetic number, because the mean of its divisors is an integer number (98993664).
Almost surely, 210001111120 is an apocalyptic number.
10001111120 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 10001111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838986240).
10001111120 is an abundant number, since it is smaller than the sum of its proper divisors (21676861360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10001111120 is a wasteful number, since it uses less digits than its factorization.
10001111120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1874 (or 1868 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 8.
Adding to 10001111120 its reverse (2111110001), we get a palindrome (12112221121).
It can be divided in two parts, 10001 and 111120, that added together give a palindrome (121121).
The spelling of 10001111120 in words is "ten billion, one million, one hundred eleven thousand, one hundred twenty".
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