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12114330 = 2352397181
BaseRepresentation
bin101110001101…
…100110011010
3211210110201220
4232031212122
511100124310
61111352510
7204653514
oct56154632
924713656
1012114330
116924748
124082736
132682057
141874bb4
1510e4670
hexb8d99a

12114330 has 64 divisors (see below), whose sum is σ = 30820608. Its totient is φ = 3041280.

The previous prime is 12114317. The next prime is 12114331. The reversal of 12114330 is 3341121.

It is a super-3 number, since 3×121143303 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12114331) 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 31 ways as a sum of consecutive naturals, for example, 66840 + ... + 67020.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 212114330 is an apocalyptic number.

12114330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410304).

12114330 is an abundant number, since it is smaller than the sum of its proper divisors (18706278).

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

12114330 is a wasteful number, since it uses less digits than its factorization.

12114330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 12114330 is about 3480.5646093702. The cubic root of 12114330 is about 229.6676358868.

Adding to 12114330 its reverse (3341121), we get a palindrome (15455451).

The spelling of 12114330 in words is "twelve million, one hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 97 115 138 181 194 230 291 345 362 485 543 582 690 905 970 1086 1455 1810 2231 2715 2910 4163 4462 5430 6693 8326 11155 12489 13386 17557 20815 22310 24978 33465 35114 41630 52671 62445 66930 87785 105342 124890 175570 263355 403811 526710 807622 1211433 2019055 2422866 4038110 6057165 12114330