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12003101201333 = 1117672693561433
BaseRepresentation
bin1010111010101011000010…
…0101010101001110110101
31120111111002202112110021002
42232222300211111032311
53033124322401420313
641310052031333045
72346124015542554
oct256526045251665
946444082473232
1012003101201333
113908539787310
12141a346381185
13690b70048668
142d6d4b809d9b
1515c365305058
hexaeab09553b5

12003101201333 has 32 divisors (see below), whose sum is σ = 14123792499840. Its totient is φ = 10079137474560.

The previous prime is 12003101201323. The next prime is 12003101201347. The reversal of 12003101201333 is 33310210130021.

It is not a de Polignac number, because 12003101201333 - 212 = 12003101197237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003101201303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589585 + ... + 5151017.

It is an arithmetic number, because the mean of its divisors is an integer number (441368515620).

Almost surely, 212003101201333 is an apocalyptic number.

It is an amenable number.

12003101201333 is a deficient number, since it is larger than the sum of its proper divisors (2120691298507).

12003101201333 is a wasteful number, since it uses less digits than its factorization.

12003101201333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3561797.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12003101201333 its reverse (33310210130021), we get a palindrome (45313311331354).

The spelling of 12003101201333 in words is "twelve trillion, three billion, one hundred one million, two hundred one thousand, three hundred thirty-three".

Divisors: 1 11 17 67 187 269 737 1139 2959 4573 12529 18023 50303 198253 306391 3370301 3561433 39175763 60544361 238616011 665987971 958025477 2624776121 4056472187 10538280247 16286433109 44621194057 64187706959 179150764199 706064776549 1091191018303 12003101201333