Base | Representation |
---|---|
bin | 1011111100011001101111… |
… | …1111110110100101100100 |
3 | 1201111102211210221101101200 |
4 | 2333012123333312211210 |
5 | 3210130004022343022 |
6 | 43532524331322500 |
7 | 2523531302120151 |
oct | 277063377664544 |
9 | 51442753841350 |
10 | 13132332231012 |
11 | 4203433204575 |
12 | 15811735b0430 |
13 | 7434b1aab6a7 |
14 | 33587314d228 |
15 | 17b907136bac |
hex | bf19bff6964 |
13132332231012 has 36 divisors (see below), whose sum is σ = 35148300972876. Its totient is φ = 4119947366400.
The previous prime is 13132332230951. The next prime is 13132332231071. The reversal of 13132332231012 is 21013223323131.
13132332231012 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 2 + 332 + 2 + 310 + 12 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 7293758884416 + 5838573346596 = 2700696^2 + 2416314^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×131323322310123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10729028989 + ... + 10729030212.
It is an arithmetic number, because the mean of its divisors is an integer number (976341693691).
Almost surely, 213132332231012 is an apocalyptic number.
13132332231012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
13132332231012 is an abundant number, since it is smaller than the sum of its proper divisors (22015968741864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13132332231012 is a wasteful number, since it uses less digits than its factorization.
13132332231012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 21458059228 (or 21458059223 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 13132332231012 its reverse (21013223323131), we get a palindrome (34145555554143).
The spelling of 13132332231012 in words is "thirteen trillion, one hundred thirty-two billion, three hundred thirty-two million, two hundred thirty-one thousand, twelve".
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