Base | Representation |
---|---|
bin | 11000011100010011… |
… | …01001001111001000 |
3 | 1020212111221110202200 |
4 | 30032021221033020 |
5 | 203333302423422 |
6 | 10010040400200 |
7 | 643116542541 |
oct | 141611511710 |
9 | 36774843680 |
10 | 13122311112 |
11 | 5624225619 |
12 | 2662776060 |
13 | 1311827841 |
14 | 8c6ac74c8 |
15 | 51c0622ac |
hex | 30e2693c8 |
13122311112 has 24 divisors (see below), whose sum is σ = 35539592790. Its totient is φ = 4374103680.
The previous prime is 13122311087. The next prime is 13122311119. The reversal of 13122311112 is 21111322131.
It can be written as a sum of positive squares in only one way, i.e., 11417777316 + 1704533796 = 106854^2 + 41286^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is not an unprimeable number, because it can be changed into a prime (13122311119) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91127089 + ... + 91127232.
Almost surely, 213122311112 is an apocalyptic number.
13122311112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
13122311112 is an abundant number, since it is smaller than the sum of its proper divisors (22417281678).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13122311112 is a wasteful number, since it uses less digits than its factorization.
13122311112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 182254333 (or 182254326 counting only the distinct ones).
The product of its digits is 72, while the sum is 18.
Adding to 13122311112 its reverse (21111322131), we get a palindrome (34233633243).
The spelling of 13122311112 in words is "thirteen billion, one hundred twenty-two million, three hundred eleven thousand, one hundred twelve".
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