| Base | Representation |
|---|---|
| bin | 11000010001101100… |
| … | …10101011100000000 |
| 3 | 1020122022120110011120 |
| 4 | 30020312111130000 |
| 5 | 203143020110300 |
| 6 | 5553142112240 |
| 7 | 640656521304 |
| oct | 141066253400 |
| 9 | 36568513146 |
| 10 | 13033363200 |
| 11 | 5588aa2750 |
| 12 | 2638a1b680 |
| 13 | 12c9283740 |
| 14 | 8b8d71d04 |
| 15 | 5143423a0 |
| hex | 308d95700 |
13033363200 has 864 divisors, whose sum is σ = 52118664192. Its totient is φ = 2826240000.
The previous prime is 13033363169. The next prime is 13033363207. The reversal of 13033363200 is 236333031.
It is a happy number.
It is a super-2 number, since 2×130333632002 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13033363207) 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 95 ways as a sum of consecutive naturals, for example, 129043150 + ... + 129043250.
It is an arithmetic number, because the mean of its divisors is an integer number (60322528).
Almost surely, 213033363200 is an apocalyptic number.
13033363200 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 13033363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26059332096).
13033363200 is an abundant number, since it is smaller than the sum of its proper divisors (39085300992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13033363200 is a wasteful number, since it uses less digits than its factorization.
13033363200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 201 (or 182 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 24.
Adding to 13033363200 its reverse (236333031), we get a palindrome (13269696231).
It can be divided in two parts, 1303336 and 3200, that added together give a triangular number (1306536 = T1616).
The spelling of 13033363200 in words is "thirteen billion, thirty-three million, three hundred sixty-three thousand, two hundred".
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