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11100111000101 is a prime number
BaseRepresentation
bin1010000110000111001000…
…1011000101001000100101
31110022011022211011102001222
42201201302023011020211
52423331011404000401
635335153125430125
72223646045510304
oct241416213051045
943264284142058
1011100111000101
11359a59230a032
1212b333886b345
13626974c29116
142a536924c43b
15143b1551cc1b
hexa18722c5225

11100111000101 has 2 divisors, whose sum is σ = 11100111000102. Its totient is φ = 11100111000100.

The previous prime is 11100111000053. The next prime is 11100111000131. The reversal of 11100111000101 is 10100011100111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6527360716900 + 4572750283201 = 2554870^2 + 2138399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11100111000101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11100111000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550055500050 + 5550055500051.

It is an arithmetic number, because the mean of its divisors is an integer number (5550055500051).

Almost surely, 211100111000101 is an apocalyptic number.

It is an amenable number.

11100111000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

11100111000101 is an equidigital number, since it uses as much as digits as its factorization.

11100111000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 11100111000101 its reverse (10100011100111), we get a palindrome (21200122100212).

It can be divided in two parts, 1110011 and 1000101, that added together give a palindrome (2110112).

The spelling of 11100111000101 in words is "eleven trillion, one hundred billion, one hundred eleven million, one hundred one", and thus it is an aban number.