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12132003 = 313223929
BaseRepresentation
bin101110010001…
…111010100011
3211211100222110
4232101322203
511101211003
61112010403
7205056162
oct56217243
924740873
1012132003
116936a54
124090a03
13268a100
14187b3d9
1510e9a03
hexb91ea3

12132003 has 12 divisors (see below), whose sum is σ = 17516760. Its totient is φ = 7465536.

The previous prime is 12131963. The next prime is 12132011. The reversal of 12132003 is 30023121.

It is a happy number.

It is not a de Polignac number, because 12132003 - 26 = 12131939 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12132003.

It is not an unprimeable number, because it can be changed into a prime (12132053) 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 11 ways as a sum of consecutive naturals, for example, 11458 + ... + 12471.

It is an arithmetic number, because the mean of its divisors is an integer number (1459730).

Almost surely, 212132003 is an apocalyptic number.

12132003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12132003 is a deficient number, since it is larger than the sum of its proper divisors (5384757).

12132003 is a wasteful number, since it uses less digits than its factorization.

12132003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23958 (or 23945 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 12132003 is about 3483.1024963386. The cubic root of 12132003 is about 229.7792652256.

Adding to 12132003 its reverse (30023121), we get a palindrome (42155124).

The spelling of 12132003 in words is "twelve million, one hundred thirty-two thousand, three".

Divisors: 1 3 13 39 169 507 23929 71787 311077 933231 4044001 12132003