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12300353 = 131922621
BaseRepresentation
bin101110111011…
…000001000001
3212010220220122
4232323001001
511122102403
61115350025
7206360042
oct56730101
925126818
1012300353
116a4148a
124152315
132718920
1418c28c9
15112e838
hexbbb041

12300353 has 12 divisors (see below), whose sum is σ = 13985748. Its totient is φ = 10752480.

The previous prime is 12300347. The next prime is 12300359. The reversal of 12300353 is 35300321.

It is an interprime number because it is at equal distance from previous prime (12300347) and next prime (12300359).

It can be written as a sum of positive squares in 2 ways, for example, as 5914624 + 6385729 = 2432^2 + 2527^2 .

It is not a de Polignac number, because 12300353 - 212 = 12296257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12300359) 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 11 ways as a sum of consecutive naturals, for example, 3383 + ... + 6003.

It is an arithmetic number, because the mean of its divisors is an integer number (1165479).

Almost surely, 212300353 is an apocalyptic number.

12300353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12300353 is a deficient number, since it is larger than the sum of its proper divisors (1685395).

12300353 is a wasteful number, since it uses less digits than its factorization.

12300353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672 (or 2653 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 12300353 is about 3507.1859089589. The cubic root of 12300353 is about 230.8372322134.

Adding to 12300353 its reverse (35300321), we get a palindrome (47600674).

The spelling of 12300353 in words is "twelve million, three hundred thousand, three hundred fifty-three".

Divisors: 1 13 19 247 361 2621 4693 34073 49799 647387 946181 12300353