Base | Representation |
---|---|
bin | 11000001111000010… |
… | …11010111001000000 |
3 | 1020120202200112022200 |
4 | 30013201122321000 |
5 | 203121320301141 |
6 | 5551025033200 |
7 | 640266360522 |
oct | 140741327100 |
9 | 36522615280 |
10 | 13011103296 |
11 | 5577479534 |
12 | 2631485800 |
13 | 12c478b7b9 |
14 | 8b6019a12 |
15 | 5123e6ab6 |
hex | 30785ae40 |
13011103296 has 126 divisors (see below), whose sum is σ = 37835085366. Its totient is φ = 4274995200.
The previous prime is 13011103249. The next prime is 13011103319. The reversal of 13011103296 is 69230111031.
It can be written as a sum of positive squares in only one way, i.e., 12267777600 + 743325696 = 110760^2 + 27264^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2901376 + ... + 2905856.
Almost surely, 213011103296 is an apocalyptic number.
13011103296 is a gapful number since it is divisible by the number (16) 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 13011103296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917542683).
13011103296 is an abundant number, since it is smaller than the sum of its proper divisors (24823982070).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13011103296 is an equidigital number, since it uses as much as digits as its factorization.
13011103296 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4641 (or 4557 counting only the distinct ones).
The product of its (nonzero) digits is 972, while the sum is 27.
The spelling of 13011103296 in words is "thirteen billion, eleven million, one hundred three thousand, two hundred ninety-six".
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