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1111101013111 is a prime number
BaseRepresentation
bin10000001010110010110…
…001111111110001110111
310221012221112120122220111
4100022302301333301313
5121201013324404421
62210233250443451
7143163055532155
oct20126261776167
93835845518814
101111101013111
113992406124a1
1215b409593587
1380a1290c59b
143bac59503d5
151dd80344ee1
hex102b2c7fc77

1111101013111 has 2 divisors, whose sum is σ = 1111101013112. Its totient is φ = 1111101013110.

The previous prime is 1111101013109. The next prime is 1111101013133. The reversal of 1111101013111 is 1113101011111.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1111101013111 - 21 = 1111101013109 is a prime.

It is a super-2 number, since 2×11111010131112 (a number of 25 digits) contains 22 as substring.

Together with 1111101013109, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1111101013091 and 1111101013100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1111101010111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555550506555 + 555550506556.

It is an arithmetic number, because the mean of its divisors is an integer number (555550506556).

Almost surely, 21111101013111 is an apocalyptic number.

1111101013111 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111101013111 is an equidigital number, since it uses as much as digits as its factorization.

1111101013111 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 13.

Adding to 1111101013111 its reverse (1113101011111), we get a palindrome (2224202024222).

The spelling of 1111101013111 in words is "one trillion, one hundred eleven billion, one hundred one million, thirteen thousand, one hundred eleven".