Base | Representation |
---|---|
bin | 110110001011100… |
… | …1001101001110101 |
3 | 11200200220101101100 |
4 | 1230113021221311 |
5 | 12210402230211 |
6 | 500222120313 |
7 | 63023546253 |
oct | 15427115165 |
9 | 4620811340 |
10 | 1818008181 |
11 | 853244500 |
12 | 428a20099 |
13 | 22c8569b2 |
14 | 1336435d3 |
15 | a9914156 |
hex | 6c5c9a75 |
1818008181 has 36 divisors (see below), whose sum is σ = 2915197740. Its totient is φ = 1090848000.
The previous prime is 1818008177. The next prime is 1818008189.
1818008181 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 2 ways, for example, as 1701562500 + 116445681 = 41250^2 + 10791^2 .
It is not a de Polignac number, because 1818008181 - 22 = 1818008177 is a prime.
It is a super-2 number, since 2×18180081812 = 6610307492365857522, which contains 22 as substring.
1818008181 is a strobogrammatic number because it is the same when read upside-down.
1818008181 is a modest number, since divided by 8181 gives 1818 as remainder.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1818008189) 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 35 ways as a sum of consecutive naturals, for example, 101725 + ... + 118253.
It is an arithmetic number, because the mean of its divisors is an integer number (80977715).
Almost surely, 21818008181 is an apocalyptic number.
1818008181 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
1818008181 is a deficient number, since it is larger than the sum of its proper divisors (1097189559).
1818008181 is a wasteful number, since it uses less digits than its factorization.
1818008181 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16658 (or 16644 counting only the distinct ones).
The product of its (nonzero) digits is 4096, while the sum is 36.
The square root of 1818008181 is about 42638.1071460730. The cubic root of 1818008181 is about 1220.4835897525.
It can be divided in two parts, 181800 and 8181, that added together give a palindrome (189981).
The spelling of 1818008181 in words is "one billion, eight hundred eighteen million, eight thousand, one hundred eighty-one".
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