| Base | Representation |
|---|---|
| bin | 11000010000001001… |
| … | …01100111010000000 |
| 3 | 1020121102002102100000 |
| 4 | 30020010230322000 |
| 5 | 203131202232003 |
| 6 | 5551555200000 |
| 7 | 640441111200 |
| oct | 141004547200 |
| 9 | 36542072300 |
| 10 | 13020352128 |
| 11 | 55817162a3 |
| 12 | 26345a6000 |
| 13 | 12c6679494 |
| 14 | 8b7346400 |
| 15 | 5131221a3 |
| hex | 30812ce80 |
13020352128 has 288 divisors, whose sum is σ = 45204082560. Its totient is φ = 3719665152.
The previous prime is 13020352127. The next prime is 13020352171. The reversal of 13020352128 is 82125302031.
13020352128 is a `hidden beast` number, since 1 + 302 + 0 + 352 + 1 + 2 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×130203521282 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (13020352127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1519825 + ... + 1528367.
It is an arithmetic number, because the mean of its divisors is an integer number (156958620).
Almost surely, 213020352128 is an apocalyptic number.
13020352128 is a gapful number since it is divisible by the number (18) 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 13020352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22602041280).
13020352128 is an abundant number, since it is smaller than the sum of its proper divisors (32183730432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13020352128 is an frugal number, since it uses more digits than its factorization.
13020352128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8586 (or 8555 counting only the distinct ones).
The product of its (nonzero) digits is 2880, while the sum is 27.
Adding to 13020352128 its reverse (82125302031), we get a palindrome (95145654159).
The spelling of 13020352128 in words is "thirteen billion, twenty million, three hundred fifty-two thousand, one hundred twenty-eight".
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