Base | Representation |
---|---|
bin | 1011111011110… |
… | …00111011100000 |
3 | 20222101010011120 |
4 | 11331320323200 |
5 | 201112010143 |
6 | 13533412240 |
7 | 2323631013 |
oct | 575707340 |
9 | 228333146 |
10 | 100110048 |
11 | 51567185 |
12 | 2963a080 |
13 | 1798191c |
14 | d41d37a |
15 | 8bc7383 |
hex | 5f78ee0 |
100110048 has 48 divisors (see below), whose sum is σ = 265764240. Its totient is φ = 32992256.
The previous prime is 100110041. The next prime is 100110061. The reversal of 100110048 is 840011001.
It is a tau number, because it is divible by the number of its divisors (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (100110041) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2686 + ... + 14402.
It is an arithmetic number, because the mean of its divisors is an integer number (5536755).
Almost surely, 2100110048 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 100110048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132882120).
100110048 is an abundant number, since it is smaller than the sum of its proper divisors (165654192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100110048 is a wasteful number, since it uses less digits than its factorization.
100110048 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11819 (or 11811 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 15.
The square root of 100110048 is about 10005.5008870121. The cubic root of 100110048 is about 464.3290867974.
Adding to 100110048 its reverse (840011001), we get a palindrome (940121049).
The spelling of 100110048 in words is "one hundred million, one hundred ten thousand, forty-eight".
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