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12001231111013 = 233170930138929
BaseRepresentation
bin1010111010100100000100…
…0111100000001101100101
31120111022021102122000121122
42232221001013200031211
53033112010131023023
641305142305023325
72346026460204314
oct256510107401545
946438242560548
1012001231111013
11390776a0aa821
121419b04024b45
13690932787941
142d6c112ca27b
1515c2a60542c8
hexaea411e0365

12001231111013 has 8 divisors (see below), whose sum is σ = 12059791450200. Its totient is φ = 11942731053568.

The previous prime is 12001231110959. The next prime is 12001231111021. The reversal of 12001231111013 is 31011113210021.

It can be written as a sum of positive squares in 4 ways, for example, as 1133283735364 + 10867947375649 = 1064558^2 + 3296657^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12001231111013 - 242 = 7603184599909 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12001231110982 and 12001231111000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001231111073) 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 7 ways as a sum of consecutive naturals, for example, 14671268 + ... + 15467661.

It is an arithmetic number, because the mean of its divisors is an integer number (1507473931275).

Almost surely, 212001231111013 is an apocalyptic number.

It is an amenable number.

12001231111013 is a deficient number, since it is larger than the sum of its proper divisors (58560339187).

12001231111013 is a wasteful number, since it uses less digits than its factorization.

12001231111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30140871.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 12001231111013 its reverse (31011113210021), we get a palindrome (43012344321034).

The spelling of 12001231111013 in words is "twelve trillion, one billion, two hundred thirty-one million, one hundred eleven thousand, thirteen".

Divisors: 1 233 1709 398197 30138929 7022370457 51507429661 12001231111013