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12005331 = 313541569
BaseRepresentation
bin101101110010…
…111111010011
3211120221012220
4231302333103
511033132311
61105152123
7204020652
oct55627723
924527186
1012005331
11685a868
12402b643
132644560
141847199
1510c2206
hexb72fd3

12005331 has 16 divisors (see below), whose sum is σ = 17300640. Its totient is φ = 7361280.

The previous prime is 12005327. The next prime is 12005341. The reversal of 12005331 is 13350021.

It is a happy number.

It is not a de Polignac number, because 12005331 - 22 = 12005327 is a prime.

It is a super-2 number, since 2×120053312 = 288255944839122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12005331.

It is not an unprimeable number, because it can be changed into a prime (12005341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20815 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (1081290).

Almost surely, 212005331 is an apocalyptic number.

12005331 is a deficient number, since it is larger than the sum of its proper divisors (5295309).

12005331 is a wasteful number, since it uses less digits than its factorization.

12005331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 12005331 is about 3464.8709932694. The cubic root of 12005331 is about 228.9767461116.

Adding to 12005331 its reverse (13350021), we get a palindrome (25355352).

The spelling of 12005331 in words is "twelve million, five thousand, three hundred thirty-one".

Divisors: 1 3 13 39 541 569 1623 1707 7033 7397 21099 22191 307829 923487 4001777 12005331