| Base | Representation |
|---|---|
| bin | 1011111011101… |
| … | …10011110110000 |
| 3 | 20222100121102000 |
| 4 | 11331312132300 |
| 5 | 201111200031 |
| 6 | 13533254000 |
| 7 | 2323556532 |
| oct | 575663660 |
| 9 | 228317360 |
| 10 | 100100016 |
| 11 | 5155a695 |
| 12 | 29634300 |
| 13 | 1797a1a3 |
| 14 | d419852 |
| 15 | 8bc43e6 |
| hex | 5f767b0 |
100100016 has 80 divisors (see below), whose sum is σ = 289564800. Its totient is φ = 33106752.
The previous prime is 100099981. The next prime is 100100051. The reversal of 100100016 is 610001001.
It is an interprime number because it is at equal distance from previous prime (100099981) and next prime (100100051).
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 = 100099980 and 100100007.
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 15 ways as a sum of consecutive naturals, for example, 59215 + ... + 60881.
It is an arithmetic number, because the mean of its divisors is an integer number (3619560).
Almost surely, 2100100016 is an apocalyptic number.
100100016 is a gapful number since it is divisible by the number (16) 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 100100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144782400).
100100016 is an abundant number, since it is smaller than the sum of its proper divisors (189464784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100100016 is a wasteful number, since it uses less digits than its factorization.
100100016 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1823 (or 1811 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 100100016 is about 10004.9995502249. Note that the first 3 decimals coincide. The cubic root of 100100016 is about 464.3135761831.
Adding to 100100016 its reverse (610001001), we get a palindrome (710101017).
The spelling of 100100016 in words is "one hundred million, one hundred thousand, sixteen".
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