Search a number
-
+
211222221201221 is a prime number
BaseRepresentation
bin110000000001101100000001…
…011101101001111101000101
31000200212122110202200101212212
4300001230001131221331011
5210141131102111414341
62025122052052353205
762330205355532306
oct6001540135517505
91020778422611785
10211222221201221
116133592835286a
121b834346615805
1390b2229622479
143a232d255c7ad
1519645949425eb
hexc01b01769f45

211222221201221 has 2 divisors, whose sum is σ = 211222221201222. Its totient is φ = 211222221201220.

The previous prime is 211222221201179. The next prime is 211222221201269. The reversal of 211222221201221 is 122102122222112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210895164172900 + 327057028321 = 14522230^2 + 571889^2 .

It is a cyclic number.

It is not a de Polignac number, because 211222221201221 - 214 = 211222221184837 is a prime.

It is a super-2 number, since 2×2112222212012212 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211222221201421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105611110600610 + 105611110600611.

It is an arithmetic number, because the mean of its divisors is an integer number (105611110600611).

Almost surely, 2211222221201221 is an apocalyptic number.

It is an amenable number.

211222221201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

211222221201221 is an equidigital number, since it uses as much as digits as its factorization.

211222221201221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 23.

Adding to 211222221201221 its reverse (122102122222112), we get a palindrome (333324343423333).

The spelling of 211222221201221 in words is "two hundred eleven trillion, two hundred twenty-two billion, two hundred twenty-one million, two hundred one thousand, two hundred twenty-one".