Base | Representation |
---|---|
bin | 1100000011011… |
… | …01110011000000 |
3 | 21001021001222211 |
4 | 12001231303000 |
5 | 201341104044 |
6 | 14011111504 |
7 | 2335306105 |
oct | 601556300 |
9 | 231231884 |
10 | 101113024 |
11 | 52091791 |
12 | 29a42594 |
13 | 17c432bc |
14 | d600aac |
15 | 8d24634 |
hex | 606dcc0 |
101113024 has 56 divisors (see below), whose sum is σ = 209489040. Its totient is φ = 48362496.
The previous prime is 101113021. The next prime is 101113043. The reversal of 101113024 is 420311101.
It is a junction number, because it is equal to n+sod(n) for n = 101112995 and 101113013.
It is not an unprimeable number, because it can be changed into a prime (101113021) 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 7 ways as a sum of consecutive naturals, for example, 291219 + ... + 291565.
Almost surely, 2101113024 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 101113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104744520).
101113024 is an abundant number, since it is smaller than the sum of its proper divisors (108376016).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101113024 is a wasteful number, since it uses less digits than its factorization.
101113024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 545 (or 535 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 101113024 is about 10055.4972030228. The cubic root of 101113024 is about 465.8746001619.
Adding to 101113024 its reverse (420311101), we get a palindrome (521424125).
The spelling of 101113024 in words is "one hundred one million, one hundred thirteen thousand, twenty-four".
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