Base | Representation |
---|---|
bin | 111101100100100001… |
… | …1010010011001101100 |
3 | 110122021210012200021120 |
4 | 1323021003102121230 |
5 | 4131242324213400 |
6 | 140424134300540 |
7 | 12360405213135 |
oct | 1731103223154 |
9 | 418253180246 |
10 | 132222101100 |
11 | 51090a24621 |
12 | 21760ab7750 |
13 | c612373a5b |
14 | 658465ac8c |
15 | 368ce98ca0 |
hex | 1ec90d266c |
132222101100 has 144 divisors (see below), whose sum is σ = 393403466400. Its totient is φ = 34262507520.
The previous prime is 132222101083. The next prime is 132222101111. The reversal of 132222101100 is 1101222231.
132222101100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 132222101100.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9194716 + ... + 9209084.
Almost surely, 2132222101100 is an apocalyptic number.
132222101100 is a gapful number since it is divisible by the number (10) 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 132222101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196701733200).
132222101100 is an abundant number, since it is smaller than the sum of its proper divisors (261181365300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132222101100 is a wasteful number, since it uses less digits than its factorization.
132222101100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15252 (or 15245 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 15.
Adding to 132222101100 its reverse (1101222231), we get a palindrome (133323323331).
The spelling of 132222101100 in words is "one hundred thirty-two billion, two hundred twenty-two million, one hundred one thousand, one hundred".
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