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11331000 = 2332531259
BaseRepresentation
bin101011001110…
…010110111000
3210022200012200
4223032112320
510400043000
61042510200
7165211662
oct53162670
923280180
1011331000
11643a16a
123965360
132469645
14170d532
15edc500
hexace5b8

11331000 has 96 divisors (see below), whose sum is σ = 38329200. Its totient is φ = 3019200.

The previous prime is 11330953. The next prime is 11331007. The reversal of 11331000 is 13311.

Adding to 11331000 its reverse (13311), we get a palindrome (11344311).

It can be divided in two parts, 113 and 31000, that added together give a palindrome (31113).

It is a super-3 number, since 3×113310003 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331007) 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 23 ways as a sum of consecutive naturals, for example, 8371 + ... + 9629.

Almost surely, 211331000 is an apocalyptic number.

11331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164600).

11331000 is an abundant number, since it is smaller than the sum of its proper divisors (26998200).

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

11331000 is a wasteful number, since it uses less digits than its factorization.

11331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

The square root of 11331000 is about 3366.1550766416. The cubic root of 11331000 is about 224.6067203908.

The spelling of 11331000 in words is "eleven million, three hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1259 1500 1800 2250 2518 3000 3777 4500 5036 6295 7554 9000 10072 11331 12590 15108 18885 22662 25180 30216 31475 37770 45324 50360 56655 62950 75540 90648 94425 113310 125900 151080 157375 188850 226620 251800 283275 314750 377700 453240 472125 566550 629500 755400 944250 1133100 1259000 1416375 1888500 2266200 2832750 3777000 5665500 11331000