Search a number
-
+
222202210010101 is a prime number
BaseRepresentation
bin110010100001011101111011…
…110010111100001111110101
31002010202022202001202020121121
4302201131323302330033311
5213111030111230310401
62104330141442543541
764542402622511566
oct6241357362741765
91063668661666547
10222202210010101
11648894788296a2
1220b0833a667bb1
1396ca769c50b19
143cc290413816d
151aa4ec93beca1
hexca177bcbc3f5

222202210010101 has 2 divisors, whose sum is σ = 222202210010102. Its totient is φ = 222202210010100.

The previous prime is 222202210010071. The next prime is 222202210010149. The reversal of 222202210010101 is 101010012202222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 202624691236900 + 19577518773201 = 14234630^2 + 4424649^2 .

It is a cyclic number.

It is not a de Polignac number, because 222202210010101 - 27 = 222202210009973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222202210010161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111101105005050 + 111101105005051.

It is an arithmetic number, because the mean of its divisors is an integer number (111101105005051).

Almost surely, 2222202210010101 is an apocalyptic number.

It is an amenable number.

222202210010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222202210010101 is an equidigital number, since it uses as much as digits as its factorization.

222202210010101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222202210010101 its reverse (101010012202222), we get a palindrome (323212222212323).

The spelling of 222202210010101 in words is "two hundred twenty-two trillion, two hundred two billion, two hundred ten million, ten thousand, one hundred one".