Base | Representation |
---|---|
bin | 1100000101000… |
… | …01000111010000 |
3 | 21001122202022201 |
4 | 12002201013100 |
5 | 201414320331 |
6 | 14015412544 |
7 | 2340142651 |
oct | 602410720 |
9 | 231582281 |
10 | 101323216 |
11 | 522156a5 |
12 | 29b24154 |
13 | 17cb7b87 |
14 | d657528 |
15 | 8d66a61 |
hex | 60a11d0 |
101323216 has 40 divisors (see below), whose sum is σ = 204674400. Its totient is φ = 48531840.
The previous prime is 101323199. The next prime is 101323217. The reversal of 101323216 is 612323101.
It is a junction number, because it is equal to n+sod(n) for n = 101323193 and 101323202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101323217) 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, 63711 + ... + 65281.
It is an arithmetic number, because the mean of its divisors is an integer number (5116860).
Almost surely, 2101323216 is an apocalyptic number.
101323216 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 101323216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102337200).
101323216 is an abundant number, since it is smaller than the sum of its proper divisors (103351184).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101323216 is a wasteful number, since it uses less digits than its factorization.
101323216 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1747 (or 1741 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
The square root of 101323216 is about 10065.9433735741. The cubic root of 101323216 is about 466.1971940761.
Adding to 101323216 its reverse (612323101), we get a palindrome (713646317).
The spelling of 101323216 in words is "one hundred one million, three hundred twenty-three thousand, two hundred sixteen".
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