| Base | Representation |
|---|---|
| bin | 111101100000111010… |
| … | …1110101001101000000 |
| 3 | 110121222100120212102000 |
| 4 | 1323001311311031000 |
| 5 | 4131020342224440 |
| 6 | 140404133424000 |
| 7 | 12354406050615 |
| oct | 1730165651500 |
| 9 | 417870525360 |
| 10 | 132101133120 |
| 11 | 51029711590 |
| 12 | 2172849b000 |
| 13 | c5c329b378 |
| 14 | 657256c50c |
| 15 | 3682551730 |
| hex | 1ec1d75340 |
132101133120 has 448 divisors, whose sum is σ = 509309095680. Its totient is φ = 31966617600.
The previous prime is 132101133107. The next prime is 132101133127. The reversal of 132101133120 is 21331101231.
132101133120 is a `hidden beast` number, since 1 + 321 + 0 + 11 + 331 + 2 + 0 = 666.
132101133120 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 132101133093 and 132101133102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (132101133127) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78026994 + ... + 78028686.
It is an arithmetic number, because the mean of its divisors is an integer number (1136850660).
Almost surely, 2132101133120 is an apocalyptic number.
132101133120 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 132101133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254654547840).
132101133120 is an abundant number, since it is smaller than the sum of its proper divisors (377207962560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132101133120 is a wasteful number, since it uses less digits than its factorization.
132101133120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2551 (or 2535 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 132101133120 its reverse (21331101231), we get a palindrome (153432234351).
The spelling of 132101133120 in words is "one hundred thirty-two billion, one hundred one million, one hundred thirty-three thousand, one hundred twenty".
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