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12300033320 = 2352910603477
BaseRepresentation
bin10110111010010001…
…11001110100101000
31011202012200102200122
423131020321310220
5200142302031240
65352304222412
7613543362311
oct133510716450
934665612618
1012300033320
1152420590a3
12247330aa08
131210374833
148497dd608
154bec894b5
hex2dd239d28

12300033320 has 32 divisors (see below), whose sum is σ = 28629390600. Its totient is φ = 4750357248.

The previous prime is 12300033313. The next prime is 12300033337. The reversal of 12300033320 is 2333000321.

12300033320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10536201316 + 1763832004 = 102646^2 + 41998^2 .

It is a super-2 number, since 2×123000333202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5300579 + ... + 5302898.

Almost surely, 212300033320 is an apocalyptic number.

12300033320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12300033320 is an abundant number, since it is smaller than the sum of its proper divisors (16329357280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12300033320 is a wasteful number, since it uses less digits than its factorization.

12300033320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603517 (or 10603513 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 12300033320 its reverse (2333000321), we get a palindrome (14633033641).

The spelling of 12300033320 in words is "twelve billion, three hundred million, thirty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 10603477 21206954 42413908 53017385 84827816 106034770 212069540 307500833 424139080 615001666 1230003332 1537504165 2460006664 3075008330 6150016660 12300033320