Base | Representation |
---|---|
bin | 1100000100001… |
… | …00000100000000 |
3 | 21001102201002121 |
4 | 12002010010000 |
5 | 201402013344 |
6 | 14013054024 |
7 | 2336136022 |
oct | 602040400 |
9 | 231381077 |
10 | 101204224 |
11 | 52144260 |
12 | 29a87314 |
13 | 17c75974 |
14 | d626012 |
15 | 8d41684 |
hex | 6084100 |
101204224 has 72 divisors (see below), whose sum is σ = 223548192. Its totient is φ = 45342720.
The previous prime is 101204221. The next prime is 101204231. The reversal of 101204224 is 422402101.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a junction number, because it is equal to n+sod(n) for n = 101204198 and 101204207.
It is not an unprimeable number, because it can be changed into a prime (101204221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233512 + ... + 233944.
It is an arithmetic number, because the mean of its divisors is an integer number (3104836).
Almost surely, 2101204224 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 101204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111774096).
101204224 is an abundant number, since it is smaller than the sum of its proper divisors (122343968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101204224 is an equidigital number, since it uses as much as digits as its factorization.
101204224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 543 (or 529 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
The square root of 101204224 is about 10060.0310138687. The cubic root of 101204224 is about 466.0146249716.
Adding to 101204224 its reverse (422402101), we get a palindrome (523606325).
The spelling of 101204224 in words is "one hundred one million, two hundred four thousand, two hundred twenty-four".
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