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11349013 = 131789577
BaseRepresentation
bin101011010010…
…110000010101
3210100120220211
4223102300111
510401132023
61043125421
7165315334
oct53226025
923316824
1011349013
116451755
123973871
1324748c0
141715d1b
15ee2a0d
hexad2c15

11349013 has 16 divisors (see below), whose sum is σ = 13109040. Its totient is φ = 9732096.

The previous prime is 11349001. The next prime is 11349017. The reversal of 11349013 is 31094311.

11349013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 213444 + 11135569 = 462^2 + 3337^2 .

It is a cyclic number.

It is not a de Polignac number, because 11349013 - 213 = 11340821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11349017) 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, 19381 + ... + 19957.

It is an arithmetic number, because the mean of its divisors is an integer number (819315).

Almost surely, 211349013 is an apocalyptic number.

11349013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11349013 is a deficient number, since it is larger than the sum of its proper divisors (1760027).

11349013 is a wasteful number, since it uses less digits than its factorization.

11349013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696.

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 11349013 is about 3368.8296187252. The cubic root of 11349013 is about 224.7256772008.

The spelling of 11349013 in words is "eleven million, three hundred forty-nine thousand, thirteen".

Divisors: 1 13 17 89 221 577 1157 1513 7501 9809 19669 51353 127517 667589 873001 11349013