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12105333 = 321345037
BaseRepresentation
bin101110001011…
…011001110101
3211210000101200
4232023121311
511044332313
61111243113
7204615342
oct56133165
924700350
1012105333
116918a09
124079499
13267ac26
1418717c9
1510e1b73
hexb8b675

12105333 has 6 divisors (see below), whose sum is σ = 17485494. Its totient is φ = 8070216.

The previous prime is 12105319. The next prime is 12105341. The reversal of 12105333 is 33350121.

12105333 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 11009124 + 1096209 = 3318^2 + 1047^2 .

It is not a de Polignac number, because 12105333 - 28 = 12105077 is a prime.

It is a super-3 number, since 3×121053333 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12105133) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 672510 + ... + 672527.

It is an arithmetic number, because the mean of its divisors is an integer number (2914249).

Almost surely, 212105333 is an apocalyptic number.

It is an amenable number.

12105333 is a deficient number, since it is larger than the sum of its proper divisors (5380161).

12105333 is a wasteful number, since it uses less digits than its factorization.

12105333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345043 (or 1345040 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 12105333 is about 3479.2719065920. The cubic root of 12105333 is about 229.6107657321.

Adding to 12105333 its reverse (33350121), we get a palindrome (45455454).

The spelling of 12105333 in words is "twelve million, one hundred five thousand, three hundred thirty-three".

Divisors: 1 3 9 1345037 4035111 12105333