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12000331023300 = 223252173721198253
BaseRepresentation
bin1010111010100000101101…
…1101111100001111000100
31120111012221200221211101200
42232220023131330033010
53033103134220221200
641304513113022500
72345665250452014
oct256501335741704
946435850854350
1012000331023300
113907348018584
1214198b26b4a30
1369081b160369
142d6b67949c44
1515c25200b800
hexaea0b77c3c4

12000331023300 has 216 divisors, whose sum is σ = 40903387781256. Its totient is φ = 2930446356480.

The previous prime is 12000331023277. The next prime is 12000331023349. The reversal of 12000331023300 is 332013300021.

12000331023300 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 0 + 331 + 0 + 2 + 330 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 167818038336 + 11832512984964 = 409656^2 + 3439842^2 .

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

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 71 ways as a sum of consecutive naturals, for example, 10033027 + ... + 11165226.

Almost surely, 212000331023300 is an apocalyptic number.

12000331023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000331023300 is an abundant number, since it is smaller than the sum of its proper divisors (28903056757956).

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

12000331023300 is a wasteful number, since it uses less digits than its factorization.

12000331023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21198327 (or 21198317 counting only the distinct ones).

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

Adding to 12000331023300 its reverse (332013300021), we get a palindrome (12332344323321).

The spelling of 12000331023300 in words is "twelve trillion, three hundred thirty-one million, twenty-three thousand, three hundred".