| Base | Representation |
|---|---|
| bin | 11000011101100100… |
| … | …11111101110000000 |
| 3 | 1020220021002112122100 |
| 4 | 30032302133232000 |
| 5 | 203344023120112 |
| 6 | 10011102110400 |
| 7 | 643306554066 |
| oct | 141662375600 |
| 9 | 36807075570 |
| 10 | 13133020032 |
| 11 | 562a27a370 |
| 12 | 266627b400 |
| 13 | 1313b06c92 |
| 14 | 8c82b4036 |
| 15 | 51ce7a2dc |
| hex | 30ec9fb80 |
13133020032 has 192 divisors, whose sum is σ = 41794936560. Its totient is φ = 3924910080.
The previous prime is 13133020009. The next prime is 13133020049. The reversal of 13133020032 is 23002033131.
13133020032 is a `hidden beast` number, since 131 + 330 + 200 + 3 + 2 = 666.
13133020032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (192).
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 = 13133019987 and 13133020014.
It is a congruent number.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 917958 + ... + 932154.
Almost surely, 213133020032 is an apocalyptic number.
13133020032 is a gapful number since it is divisible by the number (12) 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 13133020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20897468280).
13133020032 is an abundant number, since it is smaller than the sum of its proper divisors (28661916528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13133020032 is a wasteful number, since it uses less digits than its factorization.
13133020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14301 (or 14286 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13133020032 its reverse (23002033131), we get a palindrome (36135053163).
The spelling of 13133020032 in words is "thirteen billion, one hundred thirty-three million, twenty thousand, thirty-two".
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