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12003003013193 is a prime number
BaseRepresentation
bin1010111010101010101010…
…1110110001100001001001
31120111110211220202222110022
42232222222232301201021
53033124122232410233
641310034203030225
72346121414135013
oct256525256614111
946443756688408
1012003003013193
113908499313095
12141a31950b375
13690b558ba77a
142d6d3c76b1b3
1515c35b8ac398
hexaeaaabb1849

12003003013193 has 2 divisors, whose sum is σ = 12003003013194. Its totient is φ = 12003003013192.

The previous prime is 12003003013187. The next prime is 12003003013229. The reversal of 12003003013193 is 39131030030021.

12003003013193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10460903486224 + 1542099526969 = 3234332^2 + 1241813^2 .

It is a cyclic number.

It is not a de Polignac number, because 12003003013193 - 212 = 12003003009097 is a prime.

It is not a weakly prime, because it can be changed into another prime (12003003013093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001501506596 + 6001501506597.

It is an arithmetic number, because the mean of its divisors is an integer number (6001501506597).

Almost surely, 212003003013193 is an apocalyptic number.

It is an amenable number.

12003003013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

12003003013193 is an equidigital number, since it uses as much as digits as its factorization.

12003003013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 12003003013193 in words is "twelve trillion, three billion, three million, thirteen thousand, one hundred ninety-three".