Search a number
-
+
12001021011113 is a prime number
BaseRepresentation
bin1010111010100011010010…
…0110000010010010101001
31120111021201210021211201212
42232220310212002102221
53033111042334323423
641305105401522505
72346021326323211
oct256506446022251
946437653254655
1012001021011113
113907671549642
121419a657a3435
136908cb0a5484
142d6bd1439241
1515c2928a2578
hexaea349824a9

12001021011113 has 2 divisors, whose sum is σ = 12001021011114. Its totient is φ = 12001021011112.

The previous prime is 12001021011043. The next prime is 12001021011139. The reversal of 12001021011113 is 31111012010021.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9867589777984 + 2133431233129 = 3141272^2 + 1460627^2 .

It is a cyclic number.

It is not a de Polignac number, because 12001021011113 - 220 = 12001019962537 is a prime.

It is not a weakly prime, because it can be changed into another prime (12001021011013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6000510505556 + 6000510505557.

It is an arithmetic number, because the mean of its divisors is an integer number (6000510505557).

Almost surely, 212001021011113 is an apocalyptic number.

It is an amenable number.

12001021011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

12001021011113 is an equidigital number, since it uses as much as digits as its factorization.

12001021011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 12001021011113 its reverse (31111012010021), we get a palindrome (43112033021134).

The spelling of 12001021011113 in words is "twelve trillion, one billion, twenty-one million, eleven thousand, one hundred thirteen".