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12002313031013 = 1721272291427999
BaseRepresentation
bin1010111010101000000110…
…0110101100110101100101
31120111102001211110020211202
42232222001212230311211
53033121214113443023
641305441514212245
72346065335316114
oct256520146546545
946442054406752
1012002313031013
113908174896288
12141a166424085
13690a759780a6
142d6cb4c7dc7b
1515c31b018128
hexaea819acd65

12002313031013 has 24 divisors (see below), whose sum is σ = 12906378240000. Its totient is φ = 11158399219968.

The previous prime is 12002313031003. The next prime is 12002313031097. The reversal of 12002313031013 is 31013031320021.

12002313031013 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 12002313031013 - 210 = 12002313029989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12002313031003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7690988 + ... + 9118986.

It is an arithmetic number, because the mean of its divisors is an integer number (537765760000).

Almost surely, 212002313031013 is an apocalyptic number.

It is an amenable number.

12002313031013 is a deficient number, since it is larger than the sum of its proper divisors (904065208987).

12002313031013 is a wasteful number, since it uses less digits than its factorization.

12002313031013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428389 (or 1428372 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 12002313031013 its reverse (31013031320021), we get a palindrome (43015344351034).

The spelling of 12002313031013 in words is "twelve trillion, two billion, three hundred thirteen million, thirty-one thousand, thirteen".

Divisors: 1 17 127 229 289 2159 3893 29083 36703 66181 494411 1427999 8404987 24275983 181355873 327011771 412691711 3083049841 5559200107 41530494917 52411847297 94506401819 706018413589 12002313031013