Base | Representation |
---|---|
bin | 1100000010110… |
… | …10100011101000 |
3 | 21001010001220000 |
4 | 12001122203220 |
5 | 201331043331 |
6 | 14005303000 |
7 | 2334530253 |
oct | 601324350 |
9 | 231101800 |
10 | 101034216 |
11 | 52038558 |
12 | 29a04a60 |
13 | 17c1647a |
14 | d5c009a |
15 | 8d0b0e6 |
hex | 605a8e8 |
101034216 has 80 divisors (see below), whose sum is σ = 295336800. Its totient is φ = 32209056.
The previous prime is 101034203. The next prime is 101034217. The reversal of 101034216 is 612430101.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (101034217) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 11515 + ... + 18293.
It is an arithmetic number, because the mean of its divisors is an integer number (3691710).
Almost surely, 2101034216 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 101034216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147668400).
101034216 is an abundant number, since it is smaller than the sum of its proper divisors (194302584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101034216 is a wasteful number, since it uses less digits than its factorization.
101034216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6820 (or 6807 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 101034216 is about 10051.5777865965. The cubic root of 101034216 is about 465.7535337002.
Adding to 101034216 its reverse (612430101), we get a palindrome (713464317).
The spelling of 101034216 in words is "one hundred one million, thirty-four thousand, two hundred sixteen".
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