Search a number
-
+
2221202212081 is a prime number
BaseRepresentation
bin100000010100101001111…
…110000000010011110001
321212100022101211111122121
4200110221332000103301
5242343010231241311
64420223424034241
7316322314166326
oct40245176002361
97770271744577
102221202212081
11787008818806
122ba598162981
131315c6348468
14797147a0b4d
153cba29e3b71
hex20529f804f1

2221202212081 has 2 divisors, whose sum is σ = 2221202212082. Its totient is φ = 2221202212080.

The previous prime is 2221202211983. The next prime is 2221202212111. The reversal of 2221202212081 is 1802122021222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2109117198400 + 112085013681 = 1452280^2 + 334791^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221202212081 - 237 = 2083763258609 is a prime.

It is a super-2 number, since 2×22212022120812 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2221202212181) 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, 1110601106040 + 1110601106041.

It is an arithmetic number, because the mean of its divisors is an integer number (1110601106041).

Almost surely, 22221202212081 is an apocalyptic number.

It is an amenable number.

2221202212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221202212081 is an equidigital number, since it uses as much as digits as its factorization.

2221202212081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1024, while the sum is 25.

The spelling of 2221202212081 in words is "two trillion, two hundred twenty-one billion, two hundred two million, two hundred twelve thousand, eighty-one".