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111110312101 is a prime number
BaseRepresentation
bin110011101111010110…
…0001101000010100101
3101121210110122200020111
41213132230031002211
53310023214441401
6123013211333021
711012263032655
oct1473654150245
9347713580214
10111110312101
1143137969018
121964a751171
13a62954b509
145540848365
152d54818e51
hex19deb0d0a5

111110312101 has 2 divisors, whose sum is σ = 111110312102. Its totient is φ = 111110312100.

The previous prime is 111110312081. The next prime is 111110312161. The reversal of 111110312101 is 101213011111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110872350625 + 237961476 = 332975^2 + 15426^2 .

It is a cyclic number.

It is not a de Polignac number, because 111110312101 - 217 = 111110181029 is a prime.

It is a super-3 number, since 3×1111103121013 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111110312161) 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, 55555156050 + 55555156051.

It is an arithmetic number, because the mean of its divisors is an integer number (55555156051).

Almost surely, 2111110312101 is an apocalyptic number.

It is an amenable number.

111110312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

111110312101 is an equidigital number, since it uses as much as digits as its factorization.

111110312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 111110312101 its reverse (101213011111), we get a palindrome (212323323212).

The spelling of 111110312101 in words is "one hundred eleven billion, one hundred ten million, three hundred twelve thousand, one hundred one".