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13135441 = 1117193697
BaseRepresentation
bin110010000110…
…111001010001
3220201100102211
4302012321101
511330313231
61145312121
7216435514
oct62067121
926640384
1013135441
117461940
124495641
13294ba67
141a5cd7b
151246eb1
hexc86e51

13135441 has 16 divisors (see below), whose sum is σ = 15975360. Its totient is φ = 10644480.

The previous prime is 13135439. The next prime is 13135469. The reversal of 13135441 is 14453131.

13135441 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 13135441 - 21 = 13135439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13135141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1705 + ... + 5401.

It is an arithmetic number, because the mean of its divisors is an integer number (998460).

Almost surely, 213135441 is an apocalyptic number.

13135441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13135441 is a deficient number, since it is larger than the sum of its proper divisors (2839919).

13135441 is a wasteful number, since it uses less digits than its factorization.

13135441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744.

The product of its digits is 720, while the sum is 22.

The square root of 13135441 is about 3624.2848949827. The cubic root of 13135441 is about 235.9472315709.

Adding to 13135441 its reverse (14453131), we get a palindrome (27588572).

The spelling of 13135441 in words is "thirteen million, one hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 11 17 19 187 209 323 3553 3697 40667 62849 70243 691339 772673 1194131 13135441