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12033102102021 = 33711131726189719
BaseRepresentation
bin1010111100011010110011…
…0001101011111000000101
31120121100112120112010011000
42233012230301223320011
53034122243114231041
641331533015003513
72351235326152410
oct257065461537005
946540476463130
1012033102102021
11391a234486010
121424119669599
136939416676c0
142d859600ab77
1515d01e05abb6
hexaf1acc6be05

12033102102021 has 128 divisors (see below), whose sum is σ = 25343268249600. Its totient is φ = 5430699924480.

The previous prime is 12033102101983. The next prime is 12033102102029. The reversal of 12033102102021 is 12020120133021.

12033102102021 is a `hidden beast` number, since 120 + 3 + 310 + 210 + 2 + 0 + 21 = 666.

It is not a de Polignac number, because 12033102102021 - 227 = 12032967884293 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12033102101985 and 12033102102003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12033102102029) 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 127 ways as a sum of consecutive naturals, for example, 12635401 + ... + 13554318.

It is an arithmetic number, because the mean of its divisors is an integer number (197994283200).

Almost surely, 212033102102021 is an apocalyptic number.

12033102102021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12033102102021 is an abundant number, since it is smaller than the sum of its proper divisors (13310166147579).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12033102102021 is a wasteful number, since it uses less digits than its factorization.

12033102102021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26189776 (or 26189770 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12033102102021 its reverse (12020120133021), we get a palindrome (24053222235042).

The spelling of 12033102102021 in words is "twelve trillion, thirty-three billion, one hundred two million, one hundred two thousand, twenty-one".

Divisors: 1 3 7 9 11 13 17 21 27 33 39 51 63 77 91 99 117 119 143 153 187 189 221 231 273 297 351 357 429 459 561 663 693 819 1001 1071 1287 1309 1547 1683 1989 2079 2431 2457 3003 3213 3861 3927 4641 5049 5967 7293 9009 11781 13923 17017 21879 27027 35343 41769 51051 65637 153153 459459 26189719 78569157 183328033 235707471 288086909 340466347 445225223 549984099 707122413 864260727 1021399041 1335675669 1649952297 2016608363 2383264429 2592782181 3064197123 3116576561 3745129817 4007027007 4897477453 4949856891 5787927899 6049825089 7149793287 7778346543 9192591369 9349729683 11235389451 12021081021 14692432359 17363783697 18149475267 21449379861 26215908719 28049189049 33706168353 34282342171 40515495293 44077297077 52091351091 54448425801 63667206889 64348139583 78647726157 84147567147 101118505059 102847026513 121546485879 132231891231 156274053273 191001620667 235943178471 308541079539 364639457637 445670448223 573004862001 707829535413 925623238617 1093918372911 1337011344669 1719014586003 4011034034007 12033102102021