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12300013 = 112101653
BaseRepresentation
bin101110111010…
…111011101101
3212010220110001
4232322323231
511122100023
61115344301
7206356045
oct56727355
925126401
1012300013
116a41200
124152091
13271871b
1418c2725
15112e6ad
hexbbaeed

12300013 has 6 divisors (see below), whose sum is σ = 13519982. Its totient is φ = 11181720.

The previous prime is 12299977. The next prime is 12300017. The reversal of 12300013 is 31000321.

It can be written as a sum of positive squares in only one way, i.e., 12236004 + 64009 = 3498^2 + 253^2 .

It is not a de Polignac number, because 12300013 - 29 = 12299501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50706 + ... + 50947.

Almost surely, 212300013 is an apocalyptic number.

It is an amenable number.

12300013 is a deficient number, since it is larger than the sum of its proper divisors (1219969).

12300013 is a wasteful number, since it uses less digits than its factorization.

12300013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101675 (or 101664 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 12300013 is about 3507.1374367139. The cubic root of 12300013 is about 230.8351052993.

Adding to 12300013 its reverse (31000321), we get a palindrome (43300334).

The spelling of 12300013 in words is "twelve million, three hundred thousand, thirteen".

Divisors: 1 11 121 101653 1118183 12300013