Base | Representation |
---|---|
bin | 11110000100000100111000… |
… | …111000000010100100001000 |
3 | 122100011020212020101010212221 |
4 | 132010010320320002210020 |
5 | 114312304134220001044 |
6 | 1145113421233143424 |
7 | 36564455404552600 |
oct | 3604047070024410 |
9 | 570136766333787 |
10 | 132221522422024 |
11 | 39147918443452 |
12 | 129b55003bab74 |
13 | 58a1589056289 |
14 | 24917ad2b3c00 |
15 | 10445ba23e484 |
hex | 784138e02908 |
132221522422024 has 96 divisors (see below), whose sum is σ = 303610388508000. Its totient is φ = 53676752516352.
The previous prime is 132221522422021. The next prime is 132221522422049. The reversal of 132221522422024 is 420224225122231.
It is a happy number.
132221522422024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is not an unprimeable number, because it can be changed into a prime (132221522422021) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54729732 + ... + 57094540.
It is an arithmetic number, because the mean of its divisors is an integer number (3162608213625).
Almost surely, 2132221522422024 is an apocalyptic number.
132221522422024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132221522422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151805194254000).
132221522422024 is an abundant number, since it is smaller than the sum of its proper divisors (171388866085976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132221522422024 is a wasteful number, since it uses less digits than its factorization.
132221522422024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2372355 (or 2372344 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 34.
Adding to 132221522422024 its reverse (420224225122231), we get a palindrome (552445747544255).
The spelling of 132221522422024 in words is "one hundred thirty-two trillion, two hundred twenty-one billion, five hundred twenty-two million, four hundred twenty-two thousand, twenty-four".
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