Search a number
-
+
21222110201 is a prime number
BaseRepresentation
bin10011110000111011…
…111011001111111001
32000210000010220021112
4103300323323033321
5321430330011301
613425503250105
71350621650255
oct236073731771
960700126245
1021222110201
119000367556
1241432a9935
132002940b76
14105472d265
158431c29bb
hex4f0efb3f9

21222110201 has 2 divisors, whose sum is σ = 21222110202. Its totient is φ = 21222110200.

The previous prime is 21222110183. The next prime is 21222110227. The reversal of 21222110201 is 10201122212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 20693110201 + 529000000 = 143851^2 + 23000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21222110201 is a prime.

It is a super-2 number, since 2×212221102012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (21222110291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611055100 + 10611055101.

It is an arithmetic number, because the mean of its divisors is an integer number (10611055101).

Almost surely, 221222110201 is an apocalyptic number.

It is an amenable number.

21222110201 is a deficient number, since it is larger than the sum of its proper divisors (1).

21222110201 is an equidigital number, since it uses as much as digits as its factorization.

21222110201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21222110201 its reverse (10201122212), we get a palindrome (31423232413).

The spelling of 21222110201 in words is "twenty-one billion, two hundred twenty-two million, one hundred ten thousand, two hundred one".