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12233133132309 = 3247139268777431
BaseRepresentation
bin1011001000000011111110…
…0011100000101000010101
31121022110212002012022012100
42302000333203200220111
53100411424040213214
642003453534112313
72401546304645625
oct262007743405025
947273762168170
1012233133132309
113997051810781
121456a4364b699
136a976c22c79b
14304130288885
1516332a0ae309
hexb203f8e0a15

12233133132309 has 48 divisors (see below), whose sum is σ = 18182867189760. Its totient is φ = 7921427214240.

The previous prime is 12233133132307. The next prime is 12233133132373. The reversal of 12233133132309 is 90323133133221.

12233133132309 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 31 + 3 + 313 + 2 + 309 = 666.

It is not a de Polignac number, because 12233133132309 - 21 = 12233133132307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12233133132307) 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 47 ways as a sum of consecutive naturals, for example, 157948824 + ... + 158026254.

It is an arithmetic number, because the mean of its divisors is an integer number (378809733120).

Almost surely, 212233133132309 is an apocalyptic number.

It is an amenable number.

12233133132309 is a deficient number, since it is larger than the sum of its proper divisors (5949734057451).

12233133132309 is a wasteful number, since it uses less digits than its factorization.

12233133132309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80310 (or 80307 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The spelling of 12233133132309 in words is "twelve trillion, two hundred thirty-three billion, one hundred thirty-three million, one hundred thirty-two thousand, three hundred nine".

Divisors: 1 3 9 47 139 141 417 423 1251 2687 6533 8061 19599 24183 58797 77431 126289 232293 373493 378867 696879 1120479 1136601 3361437 3639257 10762909 10917771 17554171 32288727 32753313 52662513 96866181 157987539 208057097 505856723 624171291 1517570169 1872513873 4552710507 9778683559 28919936483 29336050677 86759809449 88008152031 260279428347 1359237014701 4077711044103 12233133132309