Base | Representation |
---|---|
bin | 111101100011111011… |
… | …1000111011010000000 |
3 | 110122020101122012100202 |
4 | 1323013313013122000 |
5 | 4131222221224440 |
6 | 140422142304332 |
7 | 12360043406351 |
oct | 1730767073200 |
9 | 418211565322 |
10 | 132202133120 |
11 | 51080726362 |
12 | 217562880a8 |
13 | c60b1a2095 |
14 | 6581b3dd28 |
15 | 368b352615 |
hex | 1ec7dc7680 |
132202133120 has 32 divisors (see below), whose sum is σ = 316045726020. Its totient is φ = 52880852992.
The previous prime is 132202133101. The next prime is 132202133143. The reversal of 132202133120 is 21331202231.
132202133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 2 ways, for example, as 119566574656 + 12635558464 = 345784^2 + 112408^2 .
It is a tau number, because it is divible by the number of its divisors (32).
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 132202133092 and 132202133101.
It is an unprimeable number.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103282277 + ... + 103283556.
Almost surely, 2132202133120 is an apocalyptic number.
132202133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
132202133120 is an abundant number, since it is smaller than the sum of its proper divisors (183843592900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132202133120 is an equidigital number, since it uses as much as digits as its factorization.
132202133120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 206565852 (or 206565840 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 132202133120 its reverse (21331202231), we get a palindrome (153533335351).
The spelling of 132202133120 in words is "one hundred thirty-two billion, two hundred two million, one hundred thirty-three thousand, one hundred twenty".
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