Base | Representation |
---|---|
bin | 11000110100001111… |
… | …01000100000000000 |
3 | 1021101111210010121100 |
4 | 30122013220200000 |
5 | 204241204013100 |
6 | 10042012254400 |
7 | 651105366315 |
oct | 143207504000 |
9 | 37344703540 |
10 | 13323110400 |
11 | 5717604046 |
12 | 26b9a71400 |
13 | 13443018a2 |
14 | 905636d0c |
15 | 52e9c8400 |
hex | 31a1e8800 |
13323110400 has 432 divisors, whose sum is σ = 49409532900. Its totient is φ = 3426877440.
The previous prime is 13323110389. The next prime is 13323110407. The reversal of 13323110400 is 401132331.
13323110400 is a `hidden beast` number, since 1 + 33 + 231 + 1 + 0 + 400 = 666.
It can be written as a sum of positive squares in 6 ways, for example, as 7615005696 + 5708104704 = 87264^2 + 75552^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (13323110407) 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, 13362702 + ... + 13363698.
Almost surely, 213323110400 is an apocalyptic number.
13323110400 is a gapful number since it is divisible by the number (10) 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 13323110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24704766450).
13323110400 is an abundant number, since it is smaller than the sum of its proper divisors (36086422500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13323110400 is a wasteful number, since it uses less digits than its factorization.
13323110400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1064 (or 1036 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 13323110400 its reverse (401132331), we get a palindrome (13724242731).
The spelling of 13323110400 in words is "thirteen billion, three hundred twenty-three million, one hundred ten thousand, four hundred".
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