Search a number
-
+
2221120001 is a prime number
BaseRepresentation
bin1000010001100011…
…1001101000000001
312201210102120211202
42010120321220001
514022101320001
61004222150545
7106020131342
oct20430715001
95653376752
102221120001
11a3a845371
1251ba22455
132952177b9
14170db80c9
15ceede96b
hex84639a01

2221120001 has 2 divisors, whose sum is σ = 2221120002. Its totient is φ = 2221120000.

The previous prime is 2221119991. The next prime is 2221120043. The reversal of 2221120001 is 1000211222.

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., 1852441600 + 368678401 = 43040^2 + 19201^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221120001 - 214 = 2221103617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221120301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110560000 + 1110560001.

It is an arithmetic number, because the mean of its divisors is an integer number (1110560001).

Almost surely, 22221120001 is an apocalyptic number.

It is an amenable number.

2221120001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221120001 is an equidigital number, since it uses as much as digits as its factorization.

2221120001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2221120001 is about 47128.7598075740. The cubic root of 2221120001 is about 1304.7400921989.

Adding to 2221120001 its reverse (1000211222), we get a palindrome (3221331223).

The spelling of 2221120001 in words is "two billion, two hundred twenty-one million, one hundred twenty thousand, one".