Search a number
-
+
11133320011201 is a prime number
BaseRepresentation
bin1010001000000010110110…
…0101011001110111000001
31110102100001012202222010001
42202000231211121313001
52424402014410324301
635402324314040001
72226233022446533
oct242005545316701
943370035688101
1011133320011201
1136026839a0653
1212b9866419001
13629b3809644b
142a6bd9949853
1514490ac24c01
hexa202d959dc1

11133320011201 has 2 divisors, whose sum is σ = 11133320011202. Its totient is φ = 11133320011200.

The previous prime is 11133320011181. The next prime is 11133320011249. The reversal of 11133320011201 is 10211002333111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10390662137025 + 742657874176 = 3223455^2 + 861776^2 .

It is a cyclic number.

It is not a de Polignac number, because 11133320011201 - 213 = 11133320003009 is a prime.

It is not a weakly prime, because it can be changed into another prime (11133320011271) 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, 5566660005600 + 5566660005601.

It is an arithmetic number, because the mean of its divisors is an integer number (5566660005601).

Almost surely, 211133320011201 is an apocalyptic number.

It is an amenable number.

11133320011201 is a deficient number, since it is larger than the sum of its proper divisors (1).

11133320011201 is an equidigital number, since it uses as much as digits as its factorization.

11133320011201 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 11133320011201 its reverse (10211002333111), we get a palindrome (21344322344312).

The spelling of 11133320011201 in words is "eleven trillion, one hundred thirty-three billion, three hundred twenty million, eleven thousand, two hundred one".