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1111111241113 is a prime number
BaseRepresentation
bin10000001010110011011…
…001000000110110011001
310221012222020211022002101
4100022303121000312121
5121201023434203423
62210234254003401
7143163241501336
oct20126331006631
93835866738071
101111111241113
11399246368995
1215b410aa6561
1380a14a80b63
143bac705398d
151dd811b57ad
hex102b3640d99

1111111241113 has 2 divisors, whose sum is σ = 1111111241114. Its totient is φ = 1111111241112.

The previous prime is 1111111241101. The next prime is 1111111241137. The reversal of 1111111241113 is 3111421111111.

It is a m-pointer prime, because the next prime (1111111241137) can be obtained adding 1111111241113 to its product of digits (24).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 881125774489 + 229985466624 = 938683^2 + 479568^2 .

It is a cyclic number.

It is not a de Polignac number, because 1111111241113 - 213 = 1111111232921 is a prime.

It is not a weakly prime, because it can be changed into another prime (1111111241143) 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, 555555620556 + 555555620557.

It is an arithmetic number, because the mean of its divisors is an integer number (555555620557).

Almost surely, 21111111241113 is an apocalyptic number.

It is an amenable number.

1111111241113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111111241113 is an equidigital number, since it uses as much as digits as its factorization.

1111111241113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24, while the sum is 19.

Adding to 1111111241113 its reverse (3111421111111), we get a palindrome (4222532352224).

The spelling of 1111111241113 in words is "one trillion, one hundred eleven billion, one hundred eleven million, two hundred forty-one thousand, one hundred thirteen".