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12332106 = 23217191211
BaseRepresentation
bin101111000010…
…110001001010
3212012112110200
4233002301022
511124111411
61120153030
7206551443
oct57026112
925175420
1012332106
116a63326
124168776
13272a207
1418d02ca
151138e56
hexbc2c4a

12332106 has 48 divisors (see below), whose sum is σ = 28574208. Its totient is φ = 3830400.

The previous prime is 12332059. The next prime is 12332113. The reversal of 12332106 is 60123321.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58341 + ... + 58551.

It is an arithmetic number, because the mean of its divisors is an integer number (595296).

Almost surely, 212332106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12332106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14287104).

12332106 is an abundant number, since it is smaller than the sum of its proper divisors (16242102).

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

12332106 is a wasteful number, since it uses less digits than its factorization.

12332106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 424 counting only the distinct ones).

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

The square root of 12332106 is about 3511.7098399498. The cubic root of 12332106 is about 231.0356947146.

Adding to 12332106 its reverse (60123321), we get a palindrome (72455427).

The spelling of 12332106 in words is "twelve million, three hundred thirty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 191 211 306 382 422 573 633 1146 1266 1719 1899 3247 3438 3587 3798 6494 7174 9741 10761 19482 21522 29223 32283 40301 58446 64566 80602 120903 241806 362709 685117 725418 1370234 2055351 4110702 6166053 12332106