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13333135541 = 116752334591
BaseRepresentation
bin11000110101011011…
…11000000010110101
31021102012122110111212
430122231320002311
5204301240314131
610043011211205
7651256532165
oct143255700265
937365573455
1013333135541
115722231090
1227012a6b05
131346401a1b
14906ac65a5
15530808a2b
hex31ab780b5

13333135541 has 16 divisors (see below), whose sum is σ = 14790985728. Its totient is φ = 11916946800.

The previous prime is 13333135531. The next prime is 13333135549. The reversal of 13333135541 is 14553133331.

13333135541 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 13333135541 - 26 = 13333135477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13333135498 and 13333135507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333135549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368156 + ... + 402746.

It is an arithmetic number, because the mean of its divisors is an integer number (924436608).

Almost surely, 213333135541 is an apocalyptic number.

13333135541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13333135541 is a deficient number, since it is larger than the sum of its proper divisors (1457850187).

13333135541 is a wasteful number, since it uses less digits than its factorization.

13333135541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35192.

The product of its digits is 24300, while the sum is 32.

Adding to 13333135541 its reverse (14553133331), we get a palindrome (27886268872).

The spelling of 13333135541 in words is "thirteen billion, three hundred thirty-three million, one hundred thirty-five thousand, five hundred forty-one".

Divisors: 1 11 67 523 737 5753 34591 35041 380501 385451 2317597 18091093 25493567 199002023 1212103231 13333135541