Search a number
-
+
221331210953 is a prime number
BaseRepresentation
bin1100111000100001011…
…1100100001011001001
3210011021221201110212112
43032020113210023021
512111241242222303
6245402251552105
721663536152256
oct3161027441311
9704257643775
10221331210953
1185958775766
1236a8b45b635
1317b4373bca8
14a9d90d042d
155b55ee80d8
hex33885e42c9

221331210953 has 2 divisors, whose sum is σ = 221331210954. Its totient is φ = 221331210952.

The previous prime is 221331210871. The next prime is 221331211009. The reversal of 221331210953 is 359012133122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217830358729 + 3500852224 = 466723^2 + 59168^2 .

It is a cyclic number.

It is not a de Polignac number, because 221331210953 - 212 = 221331206857 is a prime.

It is not a weakly prime, because it can be changed into another prime (221331213953) 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, 110665605476 + 110665605477.

It is an arithmetic number, because the mean of its divisors is an integer number (110665605477).

Almost surely, 2221331210953 is an apocalyptic number.

It is an amenable number.

221331210953 is a deficient number, since it is larger than the sum of its proper divisors (1).

221331210953 is an equidigital number, since it uses as much as digits as its factorization.

221331210953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 32.

The spelling of 221331210953 in words is "two hundred twenty-one billion, three hundred thirty-one million, two hundred ten thousand, nine hundred fifty-three".