Search a number
-
+
12002112111113 is a prime number
BaseRepresentation
bin1010111010100111010110…
…1000010000001000001001
31120111101112211101110112222
42232221311220100020021
53033120311200023423
641305405535543425
72346060345450605
oct256516550201011
946441484343488
1012002112111113
113908081435183
12141a10b08ab75
13690a4315b187
142d6c962dc505
1515c30857b3c8
hexaea75a10209

12002112111113 has 2 divisors, whose sum is σ = 12002112111114. Its totient is φ = 12002112111112.

The previous prime is 12002112111103. The next prime is 12002112111127. The reversal of 12002112111113 is 31111121120021.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8604530489104 + 3397581622009 = 2933348^2 + 1843253^2 .

It is an emirp because it is prime and its reverse (31111121120021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12002112111113 - 24 = 12002112111097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12002112111091 and 12002112111100.

It is not a weakly prime, because it can be changed into another prime (12002112111103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6001056055556 + 6001056055557.

It is an arithmetic number, because the mean of its divisors is an integer number (6001056055557).

Almost surely, 212002112111113 is an apocalyptic number.

It is an amenable number.

12002112111113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12002112111113 is an equidigital number, since it uses as much as digits as its factorization.

12002112111113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 12002112111113 its reverse (31111121120021), we get a palindrome (43113233231134).

The spelling of 12002112111113 in words is "twelve trillion, two billion, one hundred twelve million, one hundred eleven thousand, one hundred thirteen".