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11101111011101 is a prime number
BaseRepresentation
bin1010000110001010110111…
…0001110100011100011101
31110022020220111212020021102
42201202231301310130131
52423340033404323401
635335440251242445
72224012610455256
oct241425561643435
943266814766242
1011101111011101
11359aa55840101
1212b3577749425
13626aa416b2c7
142a5421d9db2d
15143b7320256b
hexa18adc7471d

11101111011101 has 2 divisors, whose sum is σ = 11101111011102. Its totient is φ = 11101111011100.

The previous prime is 11101111011041. The next prime is 11101111011113. The reversal of 11101111011101 is 10111011110111.

11101111011101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11042667948601 + 58443062500 = 3323051^2 + 241750^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11101111011101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11101111019101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550555505550 + 5550555505551.

It is an arithmetic number, because the mean of its divisors is an integer number (5550555505551).

Almost surely, 211101111011101 is an apocalyptic number.

It is an amenable number.

11101111011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101111011101 is an equidigital number, since it uses as much as digits as its factorization.

11101111011101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11101111011101 its reverse (10111011110111), we get a palindrome (21212122121212).

It can be divided in two parts, 1110111 and 1011101, that multiplied together give a palindrome (1122434342211).

The spelling of 11101111011101 in words is "eleven trillion, one hundred one billion, one hundred eleven million, eleven thousand, one hundred one".