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12003412311 = 3211611987649
BaseRepresentation
bin10110010110111010…
…11000100101010111
31010222112112112011100
423023131120211113
5144040333143221
65303030441143
7603312215112
oct131335304527
933875475140
1012003412311
1150aa682370
1223abb031b3
131193a8aa47
1481c269579
154a3be6926
hex2cb758957

12003412311 has 24 divisors (see below), whose sum is σ = 19224550800. Its totient is φ = 7155532800.

The previous prime is 12003412283. The next prime is 12003412327. The reversal of 12003412311 is 11321430021.

12003412311 is a `hidden beast` number, since 12 + 0 + 0 + 341 + 2 + 311 = 666.

It is not a de Polignac number, because 12003412311 - 218 = 12003150167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003412331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 987786 + ... + 999863.

It is an arithmetic number, because the mean of its divisors is an integer number (801022950).

Almost surely, 212003412311 is an apocalyptic number.

12003412311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12003412311 is a deficient number, since it is larger than the sum of its proper divisors (7221138489).

12003412311 is a wasteful number, since it uses less digits than its factorization.

12003412311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1987727 (or 1987724 counting only the distinct ones).

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

Adding to 12003412311 its reverse (11321430021), we get a palindrome (23324842332).

The spelling of 12003412311 in words is "twelve billion, three million, four hundred twelve thousand, three hundred eleven".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 1987649 5962947 17888841 21864139 65592417 121246589 196777251 363739767 1091219301 1333712479 4001137437 12003412311