Search a number
-
+
11101011011081 is a prime number
BaseRepresentation
bin1010000110001010011111…
…0100010110011000001001
31110022020122112200201000222
42201202213310112120021
52423334332304323311
635335422320035425
72224010254463105
oct241424764263011
943266575621028
1011101011011081
11359aa04349662
1212b354a162b75
13626a895277b4
142a54129ac905
15143b6954cadb
hexa18a7d16609

11101011011081 has 2 divisors, whose sum is σ = 11101011011082. Its totient is φ = 11101011011080.

The previous prime is 11101011011071. The next prime is 11101011011119. The reversal of 11101011011081 is 18011011010111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9374717217856 + 1726293793225 = 3061816^2 + 1313885^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101011011081 - 234 = 11083831141897 is a prime.

It is a super-3 number, since 3×111010110110813 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (11101011011021) 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, 5550505505540 + 5550505505541.

It is an arithmetic number, because the mean of its divisors is an integer number (5550505505541).

Almost surely, 211101011011081 is an apocalyptic number.

It is an amenable number.

11101011011081 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101011011081 is an equidigital number, since it uses as much as digits as its factorization.

11101011011081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 17.

Adding to 11101011011081 its reverse (18011011010111), we get a palindrome (29112022021192).

The spelling of 11101011011081 in words is "eleven trillion, one hundred one billion, eleven million, eleven thousand, eighty-one".