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12133332 = 22324771101
BaseRepresentation
bin101110010010…
…001111010100
3211211102210200
4232102033110
511101231312
61112020500
7205063101
oct56221724
924742720
1012133332
116937a52
124091730
13268a8b3
14187baa8
1510ea0dc
hexb923d4

12133332 has 72 divisors (see below), whose sum is σ = 32078592. Its totient is φ = 3864000.

The previous prime is 12133321. The next prime is 12133333. The reversal of 12133332 is 23333121.

12133332 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133333) 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, 120082 + ... + 120182.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 212133332 is an apocalyptic number.

12133332 is a gapful number since it is divisible by the number (12) 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 12133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296).

12133332 is an abundant number, since it is smaller than the sum of its proper divisors (19945260).

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

12133332 is a wasteful number, since it uses less digits than its factorization.

12133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 224 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 12133332 is about 3483.2932693071. The cubic root of 12133332 is about 229.7876553074.

Adding to 12133332 its reverse (23333121), we get a palindrome (35466453).

The spelling of 12133332 in words is "twelve million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 71 94 101 141 142 188 202 213 282 284 303 404 423 426 564 606 639 846 852 909 1212 1278 1692 1818 2556 3337 3636 4747 6674 7171 9494 10011 13348 14241 14342 18988 20022 21513 28482 28684 30033 40044 42723 43026 56964 60066 64539 85446 86052 120132 129078 170892 258156 337037 674074 1011111 1348148 2022222 3033333 4044444 6066666 12133332