Base | Representation |
---|---|
bin | 111101011110100110… |
… | …0101010011000000000 |
3 | 110121202221000002011100 |
4 | 1322331030222120000 |
5 | 4130340421411000 |
6 | 140352312014400 |
7 | 12352441645632 |
oct | 1727514523000 |
9 | 417687002140 |
10 | 132023232000 |
11 | 50a997442a0 |
12 | 21706391400 |
13 | c5b00c442a |
14 | 6566090a52 |
15 | 367a7b4a00 |
hex | 1ebd32a600 |
132023232000 has 960 divisors, whose sum is σ = 528187765248. Its totient is φ = 31426560000.
The previous prime is 132023231993. The next prime is 132023232001. The reversal of 132023232000 is 232320231.
It is a happy number.
132023232000 is a `hidden beast` number, since 1 + 320 + 2 + 323 + 20 + 0 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132023232001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 424511845 + ... + 424512155.
Almost surely, 2132023232000 is an apocalyptic number.
132023232000 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 132023232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264093882624).
132023232000 is an abundant number, since it is smaller than the sum of its proper divisors (396164533248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132023232000 is a wasteful number, since it uses less digits than its factorization.
132023232000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 428 (or 399 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 132023232000 its reverse (232320231), we get a palindrome (132255552231).
The spelling of 132023232000 in words is "one hundred thirty-two billion, twenty-three million, two hundred thirty-two thousand".
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