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11313135 = 335471783
BaseRepresentation
bin101011001001…
…111111101111
3210021202201000
4223021333233
510344010020
61042251343
7165105621
oct53117757
923252630
1011313135
1164277a9
123956b53
132461482
141706c11
15ed7090
hexac9fef

11313135 has 32 divisors (see below), whose sum is σ = 20551680. Its totient is φ = 5901984.

The previous prime is 11313097. The next prime is 11313139. The reversal of 11313135 is 53131311.

It is not a de Polignac number, because 11313135 - 210 = 11312111 is a prime.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313139) 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 31 ways as a sum of consecutive naturals, for example, 5454 + ... + 7236.

It is an arithmetic number, because the mean of its divisors is an integer number (642240).

Almost surely, 211313135 is an apocalyptic number.

11313135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11313135 is a deficient number, since it is larger than the sum of its proper divisors (9238545).

11313135 is a wasteful number, since it uses less digits than its factorization.

11313135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1838 counting only the distinct ones).

The product of its digits is 135, while the sum is 18.

The square root of 11313135 is about 3363.5004088003. The cubic root of 11313135 is about 224.4886163774.

Adding to 11313135 its reverse (53131311), we get a palindrome (64444446).

It can be divided in two parts, 1131313 and 5, that multiplied together give a palindrome (5656565).

The spelling of 11313135 in words is "eleven million, three hundred thirteen thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 47 135 141 235 423 705 1269 1783 2115 5349 6345 8915 16047 26745 48141 80235 83801 240705 251403 419005 754209 1257015 2262627 3771045 11313135