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12033300130002 = 23223415857121039
BaseRepresentation
bin1010111100011011100010…
…0101000110100011010010
31120121101001101010222110200
42233012320211012203102
53034123144313130002
641332004411240030
72351243252314434
oct257067045064322
946541041128420
1012033300130002
11391a3262413a8
121424173a49016
136939736b1218
142d85b4438654
1515d031625b1c
hexaf1b89468d2

12033300130002 has 96 divisors (see below), whose sum is σ = 27874264803840. Its totient is φ = 3742456227840.

The previous prime is 12033300130001. The next prime is 12033300130039. The reversal of 12033300130002 is 20003100333021.

12033300130002 is a `hidden beast` number, since 1 + 203 + 330 + 0 + 130 + 0 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12033300130001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99356199 + ... + 99477237.

It is an arithmetic number, because the mean of its divisors is an integer number (290356925040).

Almost surely, 212033300130002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12033300130002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13937132401920).

12033300130002 is an abundant number, since it is smaller than the sum of its proper divisors (15840964673838).

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

12033300130002 is a wasteful number, since it uses less digits than its factorization.

12033300130002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126968 (or 126965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12033300130002 its reverse (20003100333021), we get a palindrome (32036400463023).

The spelling of 12033300130002 in words is "twelve trillion, thirty-three billion, three hundred million, one hundred thirty thousand, two".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 207 246 369 414 738 943 1886 2829 5658 5857 8487 11714 16974 17571 35142 52713 105426 121039 134711 240137 242078 269422 363117 404133 480274 720411 726234 808266 1089351 1212399 1440822 2161233 2178702 2424798 2783897 4322466 4962599 5523151 5567794 8351691 9925198 11046302 14887797 16569453 16703382 25055073 29775594 33138906 44663391 49708359 50110146 89326782 99416718 114139777 228279554 342419331 684838662 708925423 1027257993 1417850846 2054515986 2126776269 4253552538 6380328807 12760657614 16305284729 29065942343 32610569458 48915854187 58131884686 87197827029 97831708374 146747562561 174395654058 261593481087 293495125122 523186962174 668516673889 1337033347778 2005550021667 4011100043334 6016650065001 12033300130002