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11331324 = 22323747181
BaseRepresentation
bin101011001110…
…011011111100
3210022200122200
4223032123330
510400100244
61042511500
7165212634
oct53163374
923280580
1011331324
11643a434
123965590
132469834
14170d6c4
15edc669
hexace6fc

11331324 has 72 divisors (see below), whose sum is σ = 30209088. Its totient is φ = 3576960.

The previous prime is 11331319. The next prime is 11331329. The reversal of 11331324 is 42313311.

11331324 is a `hidden beast` number, since 11 + 331 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (11331319) and next prime (11331329).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331297 and 11331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62514 + ... + 62694.

Almost surely, 211331324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104544).

11331324 is an abundant number, since it is smaller than the sum of its proper divisors (18877764).

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

11331324 is a wasteful number, since it uses less digits than its factorization.

11331324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 270 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11331324 is about 3366.2032024226. The cubic root of 11331324 is about 224.6088611811.

Adding to 11331324 its reverse (42313311), we get a palindrome (53644635).

The spelling of 11331324 in words is "eleven million, three hundred thirty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 141 148 181 188 222 282 333 362 423 444 543 564 666 724 846 1086 1332 1629 1692 1739 2172 3258 3478 5217 6516 6697 6956 8507 10434 13394 15651 17014 20091 20868 25521 26788 31302 34028 40182 51042 60273 62604 76563 80364 102084 120546 153126 241092 306252 314759 629518 944277 1259036 1888554 2832831 3777108 5665662 11331324