Base | Representation |
---|---|
bin | 1101011111101… |
… | …01000000000000 |
3 | 21220000012210021 |
4 | 12233311000000 |
5 | 212434414102 |
6 | 15122143224 |
7 | 2543123341 |
oct | 657650000 |
9 | 256005707 |
10 | 113201152 |
11 | 58998779 |
12 | 31ab1b14 |
13 | 1a5b643c |
14 | 1106a0c8 |
15 | 9e11137 |
hex | 6bf5000 |
113201152 has 52 divisors (see below), whose sum is σ = 234426420. Its totient is φ = 54591488.
The previous prime is 113201149. The next prime is 113201159. The reversal of 113201152 is 251102311.
It can be written as a sum of positive squares in 2 ways, for example, as 53231616 + 59969536 = 7296^2 + 7744^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113201159) 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 3 ways as a sum of consecutive naturals, for example, 118308 + ... + 119260.
Almost surely, 2113201152 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 113201152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117213210).
113201152 is an abundant number, since it is smaller than the sum of its proper divisors (121225268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113201152 is an frugal number, since it uses more digits than its factorization.
113201152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1006 (or 984 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 16.
The square root of 113201152 is about 10639.6030001124. The cubic root of 113201152 is about 483.7455120025.
Adding to 113201152 its reverse (251102311), we get a palindrome (364303463).
The spelling of 113201152 in words is "one hundred thirteen million, two hundred one thousand, one hundred fifty-two".
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