| Base | Representation |
|---|---|
| bin | 10011010010011101… |
| … | …00000001100000000 |
| 3 | 222201200101222122000 |
| 4 | 21221032200030000 |
| 5 | 132201432003003 |
| 6 | 4431314544000 |
| 7 | 514420654443 |
| oct | 115116401400 |
| 9 | 28650358560 |
| 10 | 10355344128 |
| 11 | 443435a348 |
| 12 | 200bb98000 |
| 13 | c904c4c7c |
| 14 | 70342165a |
| 15 | 4091a01a3 |
| hex | 2693a0300 |
10355344128 has 288 divisors, whose sum is σ = 33358080000. Its totient is φ = 3156185088.
The previous prime is 10355344127. The next prime is 10355344133. The reversal of 10355344128 is 82144355301.
10355344128 is a `hidden beast` number, since 103 + 5 + 534 + 4 + 12 + 8 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×103553441283 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10355344092 and 10355344101.
It is not an unprimeable number, because it can be changed into a prime (10355344123) 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 31 ways as a sum of consecutive naturals, for example, 3807153 + ... + 3809871.
Almost surely, 210355344128 is an apocalyptic number.
10355344128 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 10355344128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16679040000).
10355344128 is an abundant number, since it is smaller than the sum of its proper divisors (23002735872).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10355344128 is a wasteful number, since it uses less digits than its factorization.
10355344128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2792 (or 2772 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
Adding to 10355344128 its reverse (82144355301), we get a palindrome (92499699429).
The spelling of 10355344128 in words is "ten billion, three hundred fifty-five million, three hundred forty-four thousand, one hundred twenty-eight".
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