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12003120333013 = 373313473498093
BaseRepresentation
bin1010111010101011000110…
…1110010100000011010101
31120111111011002112102222211
42232222301232110003111
53033124342301124023
641310053553353421
72346124340264215
oct256526156240325
946444132472884
1012003120333013
113908549564217
12141a350868871
13690b73cb6794
142d6d5018a245
1515c366d33a0d
hexaeab1b940d5

12003120333013 has 32 divisors (see below), whose sum is σ = 12437473507200. Its totient is φ = 11575177447680.

The previous prime is 12003120332993. The next prime is 12003120333077. The reversal of 12003120333013 is 31033302130021.

12003120333013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12003120333013 - 233 = 11994530398421 is a prime.

It is a super-2 number, since 2×120031203330132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12003120333913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1483144395 + ... + 1483152487.

It is an arithmetic number, because the mean of its divisors is an integer number (388671047100).

Almost surely, 212003120333013 is an apocalyptic number.

It is an amenable number.

12003120333013 is a deficient number, since it is larger than the sum of its proper divisors (434353174187).

12003120333013 is a wasteful number, since it uses less digits than its factorization.

12003120333013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 12003120333013 its reverse (31033302130021), we get a palindrome (43036422463034).

The spelling of 12003120333013 in words is "twelve trillion, three billion, one hundred twenty million, three hundred thirty-three thousand, thirteen".

Divisors: 1 37 331 347 349 8093 12247 12839 12913 114857 115519 121103 299441 2678783 2808271 2824457 4249709 4274203 4480811 40085093 99114971 103906027 104504909 929537701 934895267 980086579 1483148441 34392894937 34591124879 36263203423 324408657649 12003120333013