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13135527 = 34257631
BaseRepresentation
bin110010000110…
…111010100111
3220201100120000
4302012322213
511330314102
61145312343
7216435666
oct62067247
926640500
1013135527
117461a09
1244956b3
13294bb02
141a5cddd
15124701c
hexc86ea7

13135527 has 20 divisors (see below), whose sum is σ = 19729776. Its totient is φ = 8709120.

The previous prime is 13135523. The next prime is 13135541. The reversal of 13135527 is 72553131.

13135527 is a `hidden beast` number, since 1 + 3 + 135 + 527 = 666.

It is not a de Polignac number, because 13135527 - 22 = 13135523 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 13135527.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13135523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20502 + ... + 21132.

Almost surely, 213135527 is an apocalyptic number.

13135527 is a deficient number, since it is larger than the sum of its proper divisors (6594249).

13135527 is an equidigital number, since it uses as much as digits as its factorization.

13135527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 891 counting only the distinct ones).

The product of its digits is 3150, while the sum is 27.

The square root of 13135527 is about 3624.2967593728. The cubic root of 13135527 is about 235.9477464988.

Adding to 13135527 its reverse (72553131), we get a palindrome (85688658).

The spelling of 13135527 in words is "thirteen million, one hundred thirty-five thousand, five hundred twenty-seven".

Divisors: 1 3 9 27 81 257 631 771 1893 2313 5679 6939 17037 20817 51111 162167 486501 1459503 4378509 13135527