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12333311104 = 27426122613
BaseRepresentation
bin10110111110001111…
…10110010010000000
31011211112022010020011
423133013312102000
5200224311423404
65355453354304
7614426262142
oct133707662200
934745263204
1012333311104
1152599181a4
122482498994
13121722672a
1484ddc2c92
154c2b5e604
hex2df1f6480

12333311104 has 32 divisors (see below), whose sum is σ = 24577121340. Its totient is φ = 6164935680.

The previous prime is 12333311077. The next prime is 12333311117. The reversal of 12333311104 is 40111333321.

12333311104 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 2 ways, for example, as 11466126400 + 867184704 = 107080^2 + 29448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×123333111042 (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 3 ways as a sum of consecutive naturals, for example, 534102 + ... + 556714.

Almost surely, 212333311104 is an apocalyptic number.

It is an amenable number.

12333311104 is a deficient number, since it is larger than the sum of its proper divisors (12243810236).

12333311104 is an equidigital number, since it uses as much as digits as its factorization.

12333311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26888 (or 26876 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 12333311104 its reverse (40111333321), we get a palindrome (52444644425).

The spelling of 12333311104 in words is "twelve billion, three hundred thirty-three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 4261 8522 17044 22613 34088 45226 68176 90452 136352 180904 272704 361808 545408 723616 1447232 2894464 96353993 192707986 385415972 770831944 1541663888 3083327776 6166655552 12333311104