Search a number
-
+
11133212310001 is a prime number
BaseRepresentation
bin1010001000000010011100…
…1010100011100111110001
31110102022202201010011211201
42202000213022203213301
52424401304322410001
635402305505411201
72226230244141055
oct242004712434761
943368681104751
1011133212310001
11360262911a0a1
1212b9836339b01
13629b1b987522
142a6bc9511c65
1514490154d501
hexa20272a39f1

11133212310001 has 2 divisors, whose sum is σ = 11133212310002. Its totient is φ = 11133212310000.

The previous prime is 11133212309957. The next prime is 11133212310053. The reversal of 11133212310001 is 10001321233111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10485064944225 + 648147365776 = 3238065^2 + 805076^2 .

It is a cyclic number.

It is not a de Polignac number, because 11133212310001 - 227 = 11133078092273 is a prime.

It is not a weakly prime, because it can be changed into another prime (11133212310061) 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, 5566606155000 + 5566606155001.

It is an arithmetic number, because the mean of its divisors is an integer number (5566606155001).

Almost surely, 211133212310001 is an apocalyptic number.

It is an amenable number.

11133212310001 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133212310001 is an equidigital number, since it uses as much as digits as its factorization.

11133212310001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11133212310001 its reverse (10001321233111), we get a palindrome (21134533543112).

The spelling of 11133212310001 in words is "eleven trillion, one hundred thirty-three billion, two hundred twelve million, three hundred ten thousand, one".