| Base | Representation |
|---|---|
| bin | 10010101001011010… |
| … | …10100011110101100 |
| 3 | 221211200122121222020 |
| 4 | 21110231110132230 |
| 5 | 131000320213400 |
| 6 | 4333220350140 |
| 7 | 503040645450 |
| oct | 112455243654 |
| 9 | 27750577866 |
| 10 | 10011101100 |
| 11 | 4278007480 |
| 12 | 1b34845350 |
| 13 | c370a6280 |
| 14 | 6ad812660 |
| 15 | 3d8d522a0 |
| hex | 254b547ac |
10011101100 has 1152 divisors, whose sum is σ = 43089242112. Its totient is φ = 1725235200.
The previous prime is 10011101099. The next prime is 10011101123. The reversal of 10011101100 is 110111001.
10011101100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 188888674 + ... + 188888726.
It is an arithmetic number, because the mean of its divisors is an integer number (37403856).
Almost surely, 210011101100 is an apocalyptic number.
10011101100 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 10011101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21544621056).
10011101100 is an abundant number, since it is smaller than the sum of its proper divisors (33078141012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10011101100 is a wasteful number, since it uses less digits than its factorization.
10011101100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 155 (or 148 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 6.
Adding to 10011101100 its reverse (110111001), we get a palindrome (10121212101).
Subtracting from 10011101100 its reverse (110111001), we obtain a palindrome (9900990099).
It can be divided in two parts, 10011 and 101100, that added together give a palindrome (111111).
The spelling of 10011101100 in words is "ten billion, eleven million, one hundred one thousand, one hundred".
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