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12303300331332 = 2232341758342537
BaseRepresentation
bin1011001100001001010111…
…0110001000011101000100
31121120011222011011100000100
42303002111312020131010
53103034124341100312
642100020320444100
72406612152210163
oct263022566103504
947504864140010
1012303300331332
113a1388932195a
121468566479630
136b32721b856a
143076a91853da
151650851ea5dc
hexb3095d88744

12303300331332 has 18 divisors (see below), whose sum is σ = 31100009170958. Its totient is φ = 4101100110432.

The previous prime is 12303300331321. The next prime is 12303300331363. The reversal of 12303300331332 is 23313300330321.

12303300331332 is a `hidden beast` number, since 1 + 23 + 0 + 3 + 300 + 3 + 3 + 1 + 332 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8122363200576 + 4180937130756 = 2849976^2 + 2044734^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a junction number, because it is equal to n+sod(n) for n = 12303300331296 and 12303300331305.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 170879171233 + ... + 170879171304.

Almost surely, 212303300331332 is an apocalyptic number.

12303300331332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12303300331332 is an abundant number, since it is smaller than the sum of its proper divisors (18796708839626).

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

12303300331332 is a wasteful number, since it uses less digits than its factorization.

12303300331332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341758342547 (or 341758342542 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 12303300331332 its reverse (23313300330321), we get a palindrome (35616600661653).

The spelling of 12303300331332 in words is "twelve trillion, three hundred three billion, three hundred million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 341758342537 683516685074 1025275027611 1367033370148 2050550055222 3075825082833 4101100110444 6151650165666 12303300331332