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11323305 = 3257103349
BaseRepresentation
bin101011001100…
…011110101001
3210022021122200
4223030132221
510344321210
61042410413
7165150360
oct53143651
923267580
1011323305
116434404
123960a09
132465ca6
14170a7d7
15eda0c0
hexacc7a9

11323305 has 48 divisors (see below), whose sum is σ = 22713600. Its totient is φ = 5111424.

The previous prime is 11323303. The next prime is 11323313. The reversal of 11323305 is 50332311.

It is not a de Polignac number, because 11323305 - 21 = 11323303 is a prime.

It is a super-2 number, since 2×113233052 = 256434472246050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11323303) 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 47 ways as a sum of consecutive naturals, for example, 32271 + ... + 32619.

It is an arithmetic number, because the mean of its divisors is an integer number (473200).

Almost surely, 211323305 is an apocalyptic number.

11323305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11323305 is an abundant number, since it is smaller than the sum of its proper divisors (11390295).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11323305 is a wasteful number, since it uses less digits than its factorization.

11323305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 11323305 is about 3365.0118870518. The cubic root of 11323305 is about 224.5558646232. Note that the first 3 decimals are identical.

Adding to 11323305 its reverse (50332311), we get a palindrome (61655616).

It can be divided in two parts, 11323 and 305, that added together give a triangular number (11628 = T152).

The spelling of 11323305 in words is "eleven million, three hundred twenty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 103 105 309 315 349 515 721 927 1047 1545 1745 2163 2443 3141 3605 4635 5235 6489 7329 10815 12215 15705 21987 32445 35947 36645 107841 109935 179735 251629 323523 539205 754887 1258145 1617615 2264661 3774435 11323305