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13201335 = 325725987
BaseRepresentation
bin110010010110…
…111110110111
3220211200211100
4302112332313
511334420320
61150541143
7220131600
oct62267667
926750740
1013201335
1174a73a4
1245077b3
132972a54
141a78da7
15125b790
hexc96fb7

13201335 has 36 divisors (see below), whose sum is σ = 26622648. Its totient is φ = 6033888.

The previous prime is 13201327. The next prime is 13201337. The reversal of 13201335 is 53310231.

13201335 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201335 - 23 = 13201327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 789 + ... + 5198.

It is an arithmetic number, because the mean of its divisors is an integer number (739518).

Almost surely, 213201335 is an apocalyptic number.

13201335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13201335 is an abundant number, since it is smaller than the sum of its proper divisors (13421313).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13201335 is a wasteful number, since it uses less digits than its factorization.

13201335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 13201335 is about 3633.3641436003. The cubic root of 13201335 is about 236.3411171167.

Adding to 13201335 its reverse (53310231), we get a palindrome (66511566).

The spelling of 13201335 in words is "thirteen million, two hundred one thousand, three hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 5987 17961 29935 41909 53883 89805 125727 209545 269415 293363 377181 628635 880089 1466815 1885905 2640267 4400445 13201335