Base | Representation |
---|---|
bin | 1011111011010… |
… | …01100111100011 |
3 | 20222020221010201 |
4 | 11331221213203 |
5 | 201103003311 |
6 | 13532210031 |
7 | 2323250116 |
oct | 575514743 |
9 | 228227121 |
10 | 100047331 |
11 | 5152404a |
12 | 29609917 |
13 | 1795c207 |
14 | d40457d |
15 | 8bb39c1 |
hex | 5f699e3 |
100047331 has 4 divisors (see below), whose sum is σ = 105313000. Its totient is φ = 94781664.
The previous prime is 100047313. The next prime is 100047341. The reversal of 100047331 is 133740001.
It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 133740001 = 227 ⋅589163.
It is a cyclic number.
It is a de Polignac number, because none of the positive numbers 2k-100047331 is a prime.
It is a super-2 number, since 2×1000473312 = 20018936880447122, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (19), and also a Moran number because the ratio is a prime number: 5265649 = 100047331 / (1 + 0 + 0 + 0 + 4 + 7 + 3 + 3 + 1).
It is a Duffinian number.
It is a junction number, because it is equal to n+sod(n) for n = 100047299 and 100047308.
It is not an unprimeable number, because it can be changed into a prime (100047341) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2632806 + ... + 2632843.
It is an arithmetic number, because the mean of its divisors is an integer number (26328250).
Almost surely, 2100047331 is an apocalyptic number.
100047331 is a deficient number, since it is larger than the sum of its proper divisors (5265669).
100047331 is an equidigital number, since it uses as much as digits as its factorization.
100047331 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5265668.
The product of its (nonzero) digits is 252, while the sum is 19.
The square root of 100047331 is about 10002.3662700383. The cubic root of 100047331 is about 464.2321021578.
Adding to 100047331 its reverse (133740001), we get a palindrome (233787332).
The spelling of 100047331 in words is "one hundred million, forty-seven thousand, three hundred thirty-one".
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