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12133313130132 = 22322318180959999
BaseRepresentation
bin1011000010010000000111…
…0100011010111010010100
31120221221012110020210112200
42300210001310122322110
53042243011130131012
641445544521044500
72361413544636255
oct260440164327224
946857173223480
1012133313130132
113958788a46707
12143b626026730
136a0221ac2c3c
142dd3810c0b2c
15160936a7c3dc
hexb0901d1ae94

12133313130132 has 72 divisors (see below), whose sum is σ = 32180628480000. Its totient is φ = 3847219104960.

The previous prime is 12133313130091. The next prime is 12133313130139. The reversal of 12133313130132 is 23103131333121.

12133313130132 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 331 + 313 + 0 + 13 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12133313130096 and 12133313130105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133313130139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40330132 + ... + 40629867.

Almost surely, 212133313130132 is an apocalyptic number.

12133313130132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12133313130132 is an abundant number, since it is smaller than the sum of its proper divisors (20047315349868).

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

12133313130132 is a wasteful number, since it uses less digits than its factorization.

12133313130132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80960213 (or 80960208 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 12133313130132 its reverse (23103131333121), we get a palindrome (35236444463253).

The spelling of 12133313130132 in words is "twelve trillion, one hundred thirty-three billion, three hundred thirteen million, one hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 181 207 276 362 414 543 724 828 1086 1629 2172 3258 4163 6516 8326 12489 16652 24978 37467 49956 74934 149868 80959999 161919998 242879997 323839996 485759994 728639991 971519988 1457279982 1862079977 2914559964 3724159954 5586239931 7448319908 11172479862 14653759819 16758719793 22344959724 29307519638 33517439586 43961279457 58615039276 67034879172 87922558914 131883838371 175845117828 263767676742 337036475837 527535353484 674072951674 1011109427511 1348145903348 2022218855022 3033328282533 4044437710044 6066656565066 12133313130132