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11101100111141 is a prime number
BaseRepresentation
bin1010000110001010110100…
…1000001111010100100101
31110022020212202100110100012
42201202231020033110211
52423340023112024031
635335435221500005
72224012416020045
oct241425510172445
943266782313305
1011101100111141
11359aa4a675877
1212b3573b71605
13626aa1b22c21
142a5420763725
15143b7229cb2b
hexa18ad20f525

11101100111141 has 2 divisors, whose sum is σ = 11101100111142. Its totient is φ = 11101100111140.

The previous prime is 11101100111093. The next prime is 11101100111149. The reversal of 11101100111141 is 14111100110111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8769001562500 + 2332098548641 = 2961250^2 + 1527121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11101100111141 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101100111149) 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, 5550550055570 + 5550550055571.

It is an arithmetic number, because the mean of its divisors is an integer number (5550550055571).

Almost surely, 211101100111141 is an apocalyptic number.

It is an amenable number.

11101100111141 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101100111141 is an equidigital number, since it uses as much as digits as its factorization.

11101100111141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 11101100111141 its reverse (14111100110111), we get a palindrome (25212200221252).

The spelling of 11101100111141 in words is "eleven trillion, one hundred one billion, one hundred million, one hundred eleven thousand, one hundred forty-one".