Base | Representation |
---|---|
bin | 1011111101100… |
… | …00000001100000 |
3 | 20222210120201111 |
4 | 11332300001200 |
5 | 201141220322 |
6 | 13542313104 |
7 | 2325560641 |
oct | 576600140 |
9 | 228716644 |
10 | 100335712 |
11 | 51700784 |
12 | 29728794 |
13 | 17a30559 |
14 | d47b6c8 |
15 | 8c1e177 |
hex | 5fb0060 |
100335712 has 48 divisors (see below), whose sum is σ = 205520112. Its totient is φ = 48176640.
The previous prime is 100335707. The next prime is 100335757. The reversal of 100335712 is 217533001.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97762 + ... + 98782.
It is an arithmetic number, because the mean of its divisors is an integer number (4281669).
Almost surely, 2100335712 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 100335712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760056).
100335712 is an abundant number, since it is smaller than the sum of its proper divisors (105184400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
100335712 is a wasteful number, since it uses less digits than its factorization.
100335712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1151 (or 1143 counting only the distinct ones).
The product of its (nonzero) digits is 630, while the sum is 22.
The square root of 100335712 is about 10016.7715357794. The cubic root of 100335712 is about 464.6777155565.
Adding to 100335712 its reverse (217533001), we get a palindrome (317868713).
The spelling of 100335712 in words is "one hundred million, three hundred thirty-five thousand, seven hundred twelve".
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