| Base | Representation |
|---|---|
| bin | 11000010100001011… |
| … | …11001101110010000 |
| 3 | 1020200202211010222002 |
| 4 | 30022011321232100 |
| 5 | 203213340034300 |
| 6 | 5555205133132 |
| 7 | 641332022636 |
| oct | 141205715620 |
| 9 | 36622733862 |
| 10 | 13054221200 |
| 11 | 5599849669 |
| 12 | 26439ba1a8 |
| 13 | 13006a7557 |
| 14 | 8bba41356 |
| 15 | 5160b25d5 |
| hex | 30a179b90 |
13054221200 has 120 divisors (see below), whose sum is σ = 31796376360. Its totient is φ = 5149900800.
The previous prime is 13054221197. The next prime is 13054221203. The reversal of 13054221200 is 212245031.
It is an interprime number because it is at equal distance from previous prime (13054221197) and next prime (13054221203).
It can be written as a sum of positive squares in 12 ways, for example, as 700343296 + 12353877904 = 26464^2 + 111148^2 .
It is a super-2 number, since 2×130542212002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (13054221203) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19748870 + ... + 19749530.
It is an arithmetic number, because the mean of its divisors is an integer number (264969803).
Almost surely, 213054221200 is an apocalyptic number.
13054221200 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 13054221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15898188180).
13054221200 is an abundant number, since it is smaller than the sum of its proper divisors (18742155160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13054221200 is a wasteful number, since it uses less digits than its factorization.
13054221200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 20.
Adding to 13054221200 its reverse (212245031), we get a palindrome (13266466231).
The spelling of 13054221200 in words is "thirteen billion, fifty-four million, two hundred twenty-one thousand, two hundred".
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