Search a number
-
+
1011110010181 is a prime number
BaseRepresentation
bin11101011011010101101…
…10100101110101000101
310120122211222212102022121
432231222312211311011
5113031223130311211
62052255244325541
7133023151165165
oct16555266456505
93518758772277
101011110010181
1135a89a271a97
12143b628438b1
1374468c3006b
1436d1bb925a5
151b47bcd6271
hexeb6ada5d45

1011110010181 has 2 divisors, whose sum is σ = 1011110010182. Its totient is φ = 1011110010180.

The previous prime is 1011110010173. The next prime is 1011110010187. The reversal of 1011110010181 is 1810100111101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 561801217156 + 449308793025 = 749534^2 + 670305^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011110010181 - 23 = 1011110010173 is a prime.

It is a super-2 number, since 2×10111100101812 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011110010187) 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, 505555005090 + 505555005091.

It is an arithmetic number, because the mean of its divisors is an integer number (505555005091).

Almost surely, 21011110010181 is an apocalyptic number.

It is an amenable number.

1011110010181 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011110010181 is an equidigital number, since it uses as much as digits as its factorization.

1011110010181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 1011110010181 its reverse (1810100111101), we get a palindrome (2821210121282).

The spelling of 1011110010181 in words is "one trillion, eleven billion, one hundred ten million, ten thousand, one hundred eighty-one".