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13135111 = 113759547
BaseRepresentation
bin110010000110…
…110100000111
3220201022222121
4302012310013
511330310421
61145310411
7216434533
oct62066407
926638877
1013135111
117461670
124495407
13294b872
141a5cbc3
151246d41
hexc86d07

13135111 has 16 divisors (see below), whose sum is σ = 14993280. Its totient is φ = 11400480.

The previous prime is 13135097. The next prime is 13135117. The reversal of 13135111 is 11153131.

It is a cyclic number.

It is not a de Polignac number, because 13135111 - 25 = 13135079 is a prime.

It is a super-2 number, since 2×131351112 = 345062281964642, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135117) 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, 23740 + ... + 24286.

It is an arithmetic number, because the mean of its divisors is an integer number (937080).

Almost surely, 213135111 is an apocalyptic number.

13135111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13135111 is a deficient number, since it is larger than the sum of its proper divisors (1858169).

13135111 is a wasteful number, since it uses less digits than its factorization.

13135111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654.

The product of its digits is 45, while the sum is 16.

The square root of 13135111 is about 3624.2393684744. The cubic root of 13135111 is about 235.9452556637.

Adding to 13135111 its reverse (11153131), we get a palindrome (24288242).

The spelling of 13135111 in words is "thirteen million, one hundred thirty-five thousand, one hundred eleven".

Divisors: 1 11 37 59 407 547 649 2183 6017 20239 24013 32273 222629 355003 1194101 13135111