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233312321133 = 3337474969061
BaseRepresentation
bin1101100101001001111…
…1110111111001101101
3211022012221021221021000
43121102133313321231
512310310423234013
6255103204430513
722566461002533
oct3312237677155
9738187257230
10233312321133
118aa467a5111
12392739a8439
13190029bb7b8
14b4143d2153
156107c86973
hex36527f7e6d

233312321133 has 32 divisors (see below), whose sum is σ = 362542763520. Its totient is φ = 148117740480.

The previous prime is 233312321071. The next prime is 233312321141. The reversal of 233312321133 is 331123213332.

233312321133 is a `hidden beast` number, since 2 + 3 + 331 + 2 + 321 + 1 + 3 + 3 = 666.

It is not a de Polignac number, because 233312321133 - 26 = 233312321069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233312321097 and 233312321106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233312321183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2437578 + ... + 2531483.

It is an arithmetic number, because the mean of its divisors is an integer number (11329461360).

Almost surely, 2233312321133 is an apocalyptic number.

It is an amenable number.

233312321133 is a deficient number, since it is larger than the sum of its proper divisors (129230442387).

233312321133 is a wasteful number, since it uses less digits than its factorization.

233312321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4969154 (or 4969148 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 233312321133 its reverse (331123213332), we get a palindrome (564435534465).

The spelling of 233312321133 in words is "two hundred thirty-three billion, three hundred twelve million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 27 37 47 111 141 333 423 999 1269 1739 5217 15651 46953 4969061 14907183 44721549 134164647 183855257 233545867 551565771 700637601 1654697313 2101912803 4964091939 6305738409 8641197079 25923591237 77770773711 233312321133