Base | Representation |
---|---|
bin | 11000010000010000… |
… | …00011111110000110 |
3 | 1020121110202011201000 |
4 | 30020020003332012 |
5 | 203131413424110 |
6 | 5552030114130 |
7 | 640451440341 |
oct | 141010037606 |
9 | 36543664630 |
10 | 13021233030 |
11 | 5582168113 |
12 | 263494b946 |
13 | 12c68c7420 |
14 | 8b74d5458 |
15 | 5132481c0 |
hex | 308203f86 |
13021233030 has 128 divisors (see below), whose sum is σ = 37634083200. Its totient is φ = 3184676352.
The previous prime is 13021232993. The next prime is 13021233037. The reversal of 13021233030 is 3033212031.
13021233030 is a `hidden beast` number, since 1 + 302 + 1 + 2 + 330 + 30 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 13021232994 and 13021233012.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13021233037) by changing a digit.
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 63 ways as a sum of consecutive naturals, for example, 539256 + ... + 562884.
It is an arithmetic number, because the mean of its divisors is an integer number (294016275).
Almost surely, 213021233030 is an apocalyptic number.
13021233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 13021233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18817041600).
13021233030 is an abundant number, since it is smaller than the sum of its proper divisors (24612850170).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13021233030 is a wasteful number, since it uses less digits than its factorization.
13021233030 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23815 (or 23809 counting only the distinct ones).
The product of its (nonzero) digits is 324, while the sum is 18.
Adding to 13021233030 its reverse (3033212031), we get a palindrome (16054445061).
It can be divided in two parts, 13021 and 233030, that added together give a triangular number (246051 = T701).
The spelling of 13021233030 in words is "thirteen billion, twenty-one million, two hundred thirty-three thousand, thirty".
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