Search a number
-
+
12300021333 = 3237275313417
BaseRepresentation
bin10110111010010001…
…10110111001010101
31011202012122211020200
423131020312321111
5200142301140313
65352304051113
7613543312335
oct133510667125
934665584220
1012300021333
115242050096
122473303a99
13121036c242
148497d90c5
154bec85b73
hex2dd236e55

12300021333 has 24 divisors (see below), whose sum is σ = 18254866968. Its totient is φ = 7974899712.

The previous prime is 12300021323. The next prime is 12300021341. The reversal of 12300021333 is 33312000321.

12300021333 is a `hidden beast` number, since 12 + 300 + 0 + 21 + 333 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6525085284 + 5774936049 = 80778^2 + 75993^2 .

It is not a de Polignac number, because 12300021333 - 212 = 12300017237 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300021313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 910041 + ... + 923457.

It is an arithmetic number, because the mean of its divisors is an integer number (760619457).

Almost surely, 212300021333 is an apocalyptic number.

It is an amenable number.

12300021333 is a deficient number, since it is larger than the sum of its proper divisors (5954845635).

12300021333 is a wasteful number, since it uses less digits than its factorization.

12300021333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16213 (or 16210 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12300021333 its reverse (33312000321), we get a palindrome (45612021654).

The spelling of 12300021333 in words is "twelve billion, three hundred million, twenty-one thousand, three hundred thirty-three".

Divisors: 1 3 9 37 111 333 2753 8259 13417 24777 40251 101861 120753 305583 496429 916749 1489287 4467861 36937001 110811003 332433009 1366669037 4100007111 12300021333