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12002001001003 = 13312960698071
BaseRepresentation
bin1010111010100110111100…
…0000011001101000101011
31120111101021002022111010201
42232221233000121220223
53033120044224013003
641305350530253031
72346054526153456
oct256515700315053
946441232274121
1012002001001003
113908024745542
12141a099a27177
13690a26127750
142d6c8565849d
1515c2ed92eb1d
hexaea6f019a2b

12002001001003 has 12 divisors (see below), whose sum is σ = 13355624596944. Its totient is φ = 10721390461200.

The previous prime is 12002001000929. The next prime is 12002001001103. The reversal of 12002001001003 is 30010010020021.

12002001001003 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12002001001003 - 213 = 12002000992811 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12002001001103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480336543 + ... + 480361528.

It is an arithmetic number, because the mean of its divisors is an integer number (1112968716412).

Almost surely, 212002001001003 is an apocalyptic number.

12002001001003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

12002001001003 is a deficient number, since it is larger than the sum of its proper divisors (1353623595941).

12002001001003 is an equidigital number, since it uses as much as digits as its factorization.

12002001001003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960698146 (or 960698115 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 12002001001003 its reverse (30010010020021), we get a palindrome (42012011021024).

The spelling of 12002001001003 in words is "twelve trillion, two billion, one million, one thousand, three".

Divisors: 1 13 31 403 961 12493 960698071 12489074923 29781640201 387161322613 923230846231 12002001001003