Base | Representation |
---|---|
bin | 110000000110111010… |
… | …1011000000110000000 |
3 | 100212122221110101022110 |
4 | 1200031311120012000 |
5 | 3143040143424412 |
6 | 115243251535320 |
7 | 10315102441053 |
oct | 1401565300600 |
9 | 325587411273 |
10 | 103311311232 |
11 | 3a8a55a6258 |
12 | 180328ba540 |
13 | 99858523bc |
14 | 5000b42a9a |
15 | 2a49cc3d3c |
hex | 180dd58180 |
103311311232 has 128 divisors (see below), whose sum is σ = 284215125600. Its totient is φ = 33210777600.
The previous prime is 103311311179. The next prime is 103311311251. The reversal of 103311311232 is 232113113301.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a junction number, because it is equal to n+sod(n) for n = 103311311199 and 103311311208.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10429482 + ... + 10439382.
Almost surely, 2103311311232 is an apocalyptic number.
103311311232 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 103311311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142107562800).
103311311232 is an abundant number, since it is smaller than the sum of its proper divisors (180903814368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103311311232 is an equidigital number, since it uses as much as digits as its factorization.
103311311232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10884 (or 10872 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 21.
Adding to 103311311232 its reverse (232113113301), we get a palindrome (335424424533).
The spelling of 103311311232 in words is "one hundred three billion, three hundred eleven million, three hundred eleven thousand, two hundred thirty-two".
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