Search a number
-
+
2221021129 is a prime number
BaseRepresentation
bin1000010001100010…
…0001011111001001
312201210020120012211
42010120201133021
514022040134004
61004220105121
7106016240155
oct20430413711
95653216184
102221021129
11a3a788058
1251b9951a1
132951b17b2
14170d90065
15ceec0504
hex846217c9

2221021129 has 2 divisors, whose sum is σ = 2221021130. Its totient is φ = 2221021128.

The previous prime is 2221021087. The next prime is 2221021141. The reversal of 2221021129 is 9211201222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1249763904 + 971257225 = 35352^2 + 31165^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221021129 - 27 = 2221021001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2221021189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110510564 + 1110510565.

It is an arithmetic number, because the mean of its divisors is an integer number (1110510565).

Almost surely, 22221021129 is an apocalyptic number.

It is an amenable number.

2221021129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221021129 is an equidigital number, since it uses as much as digits as its factorization.

2221021129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 2221021129 is about 47127.7108398021. The cubic root of 2221021129 is about 1304.7207319698.

The spelling of 2221021129 in words is "two billion, two hundred twenty-one million, twenty-one thousand, one hundred twenty-nine".