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12033011133 = 341121394441
BaseRepresentation
bin10110011010011100…
…10010110110111101
31011001121020022010000
423031032102312331
5144120422324013
65310005104513
7604121623053
oct131516226675
934047208100
1012033011133
115115359400
1223b99b8139
131199c52240
148221721d3
154a65e1973
hex2cd392dbd

12033011133 has 60 divisors (see below), whose sum is σ = 21277971484. Its totient is φ = 6731683200.

The previous prime is 12033011083. The next prime is 12033011147. The reversal of 12033011133 is 33111033021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6622378884 + 5410632249 = 81378^2 + 73557^2 .

It is not a de Polignac number, because 12033011133 - 26 = 12033011069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033011533) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80193 + ... + 174633.

Almost surely, 212033011133 is an apocalyptic number.

12033011133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12033011133 is a deficient number, since it is larger than the sum of its proper divisors (9244960351).

12033011133 is a wasteful number, since it uses less digits than its factorization.

12033011133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94488 (or 94468 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12033011133 its reverse (33111033021), we get a palindrome (45144044154).

The spelling of 12033011133 in words is "twelve billion, thirty-three million, eleven thousand, one hundred thirty-three".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 297 351 363 429 891 1053 1089 1287 1573 3267 3861 4719 9801 11583 14157 42471 94441 127413 283323 849969 1038851 1227733 2549907 3116553 3683199 7649721 9349659 11049597 11427361 13505063 28048977 33148791 34282083 40515189 84146931 99446373 102846249 121545567 148555693 308538747 364636701 445667079 925616241 1093910103 1337001237 4011003711 12033011133