Search a number
-
+
13033330133301 = 33482715930863
BaseRepresentation
bin1011110110101000111100…
…0000110100100100110101
31201010222022012000201202000
42331222033000310210311
53202014230003231201
643415232413005513
72513425033144602
oct275521700644465
951128265021660
1013033330133301
11417544a09a205
121565b43a83899
13737064c5339a
14330b608516a9
15179060816d86
hexbda8f034935

13033330133301 has 8 divisors (see below), whose sum is σ = 19308637234560. Its totient is φ = 8688886755516.

The previous prime is 13033330133281. The next prime is 13033330133303. The reversal of 13033330133301 is 10333103333031.

13033330133301 is a `hidden beast` number, since 13 + 0 + 3 + 3 + 330 + 13 + 3 + 301 = 666.

13033330133301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13033330133301 - 218 = 13033329871157 is a prime.

It is a super-2 number, since 2×130333301333012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 482715930863 = 13033330133301 / (1 + 3 + 0 + 3 + 3 + 3 + 3 + 0 + 1 + 3 + 3 + 3 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033330133303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241357965405 + ... + 241357965458.

It is an arithmetic number, because the mean of its divisors is an integer number (2413579654320).

Almost surely, 213033330133301 is an apocalyptic number.

It is an amenable number.

13033330133301 is a deficient number, since it is larger than the sum of its proper divisors (6275307101259).

13033330133301 is an equidigital number, since it uses as much as digits as its factorization.

13033330133301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482715930872 (or 482715930866 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 27.

Adding to 13033330133301 its reverse (10333103333031), we get a palindrome (23366433466332).

The spelling of 13033330133301 in words is "thirteen trillion, thirty-three billion, three hundred thirty million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 27 482715930863 1448147792589 4344443377767 13033330133301