Search a number
-
+
110000122222181 is a prime number
BaseRepresentation
bin11001000000101101100110…
…001101011101011001100101
3112102110220112122112022102112
4121000231212031131121211
5103404220222242102211
61025541205235250405
732112150400424462
oct3100554615353145
9472426478468375
10110000122222181
113205a87632a564
1210406916449a05
13494bc756c5989
141d2406a278669
15cab55030688b
hex640b6635d665

110000122222181 has 2 divisors, whose sum is σ = 110000122222182. Its totient is φ = 110000122222180.

The previous prime is 110000122222121. The next prime is 110000122222219. The reversal of 110000122222181 is 181222221000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106143772812100 + 3856349410081 = 10302610^2 + 1963759^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-110000122222181 is a prime.

It is a super-2 number, since 2×1100001222221812 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000122222121) 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, 55000061111090 + 55000061111091.

It is an arithmetic number, because the mean of its divisors is an integer number (55000061111091).

Almost surely, 2110000122222181 is an apocalyptic number.

It is an amenable number.

110000122222181 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000122222181 is an equidigital number, since it uses as much as digits as its factorization.

110000122222181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 256, while the sum is 23.

Adding to 110000122222181 its reverse (181222221000011), we get a palindrome (291222343222192).

The spelling of 110000122222181 in words is "one hundred ten trillion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred eighty-one".