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12002003201130 = 235592907126713
BaseRepresentation
bin1010111010100110111100…
…1000110010110001101010
31120111101021020110021010220
42232221233020302301222
53033120100304414010
641305351045350510
72346054553646025
oct256515710626152
946441236407126
1012002003201130
113908025a08528
12141a09a708436
13690a26717cb7
142d6c85a6c1bc
1515c2edc16970
hexaea6f232c6a

12002003201130 has 96 divisors (see below), whose sum is σ = 29333836857024. Its totient is φ = 3142794147072.

The previous prime is 12002003201101. The next prime is 12002003201207. The reversal of 12002003201130 is 3110230020021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94654654 + ... + 94781366.

It is an arithmetic number, because the mean of its divisors is an integer number (305560800594).

Almost surely, 212002003201130 is an apocalyptic number.

12002003201130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12002003201130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14666918428512).

12002003201130 is an abundant number, since it is smaller than the sum of its proper divisors (17331833655894).

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

12002003201130 is a wasteful number, since it uses less digits than its factorization.

12002003201130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127748 (or 127689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 12002003201130 its reverse (3110230020021), we get a palindrome (15112233221151).

The spelling of 12002003201130 in words is "twelve trillion, two billion, three million, two hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 177 295 354 590 885 907 1770 1814 2721 3481 4535 5442 6962 9070 10443 13605 17405 20886 27210 34810 52215 53513 104430 107026 126713 160539 253426 267565 321078 380139 535130 633565 760278 802695 1267130 1605390 1900695 3157267 3801390 6314534 7476067 9471801 14952134 15786335 18943602 22428201 31572670 37380335 44856402 47359005 74760670 94718010 112141005 114928691 224282010 229857382 344786073 441087953 574643455 689572146 882175906 1149286910 1323263859 1723930365 2205439765 2646527718 3447860730 4410879530 6616319295 6780792769 13232638590 13561585538 20342378307 33903963845 40684756614 67807927690 101711891535 203423783070 400066773371 800133546742 1200200320113 2000333866855 2400400640226 4000667733710 6001001600565 12002003201130