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12300321 = 3112912853
BaseRepresentation
bin101110111011…
…000000100001
3212010220212110
4232323000201
511122102241
61115345533
7206356665
oct56730041
925126773
1012300321
116a41460
1241522a9
1327188c7
1418c28a5
15112e816
hexbbb021

12300321 has 16 divisors (see below), whose sum is σ = 18509760. Its totient is φ = 7197120.

The previous prime is 12300319. The next prime is 12300347.

It is a happy number.

12300321 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12300321 - 21 = 12300319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12300297 and 12300306.

It is not an unprimeable number, because it can be changed into a prime (12300311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5470 + ... + 7383.

It is an arithmetic number, because the mean of its divisors is an integer number (1156860).

Almost surely, 212300321 is an apocalyptic number.

12300321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12300321 is a deficient number, since it is larger than the sum of its proper divisors (6209439).

12300321 is a wasteful number, since it uses less digits than its factorization.

12300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12896.

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

The square root of 12300321 is about 3507.1813468938. The cubic root of 12300321 is about 230.8370320349.

It can be divided in two parts, 12300 and 321, that added together give a palindrome (12621).

The spelling of 12300321 in words is "twelve million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 11 29 33 87 319 957 12853 38559 141383 372737 424149 1118211 4100107 12300321