| Base | Representation |
|---|---|
| bin | 100110100010… |
| … | …000101101100 |
| 3 | 201000012002211 |
| 4 | 212202011230 |
| 5 | 10041213400 |
| 6 | 1000300204 |
| 7 | 151600162 |
| oct | 46420554 |
| 9 | 21005084 |
| 10 | 10101100 |
| 11 | 577a119 |
| 12 | 3471664 |
| 13 | 21288a9 |
| 14 | 14ad232 |
| 15 | d47dba |
| hex | 9a216c |
10101100 has 36 divisors (see below), whose sum is σ = 22201704. Its totient is φ = 3988480.
The previous prime is 10101097. The next prime is 10101101. The reversal of 10101100 is 110101.
It is a Harshad number since it is a multiple of its sum of digits (4).
It is a self number, because there is not a number n which added to its sum of digits gives 10101100.
It is not an unprimeable number, because it can be changed into a prime (10101101) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7692 + ... + 8908.
It is an arithmetic number, because the mean of its divisors is an integer number (616714).
Almost surely, 210101100 is an apocalyptic number.
10101100 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 10101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11100852).
10101100 is an abundant number, since it is smaller than the sum of its proper divisors (12100604).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10101100 is a wasteful number, since it uses less digits than its factorization.
10101100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1314 (or 1307 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 4.
The square root of 10101100 is about 3178.2227738156. Note that the first 3 decimals coincide. The cubic root of 10101100 is about 216.1670803745.
Adding to 10101100 its reverse (110101), we get a palindrome (10211201).
Subtracting from 10101100 its reverse (110101), we obtain a palindrome (9990999).
It can be divided in two parts, 10101 and 100, that added together give a palindrome (10201).
The spelling of 10101100 in words is "ten million, one hundred one thousand, one hundred".
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