Search a number
-
+
22111112100221 is a prime number
BaseRepresentation
bin1010000011100001001001…
…11110110111100101111101
32220021210122102022212200222
411001300210332313211331
510344232024144201341
6115005412113031125
74441321653551054
oct501604476674575
986253572285628
1022111112100221
1170552a7388321
1225913468554a5
13c450b8571471
1456627d89d39b
152852628d244b
hex141c24fb797d

22111112100221 has 2 divisors, whose sum is σ = 22111112100222. Its totient is φ = 22111112100220.

The previous prime is 22111112100193. The next prime is 22111112100229. The reversal of 22111112100221 is 12200121111122.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19332606496996 + 2778505603225 = 4396886^2 + 1666885^2 .

It is a cyclic number.

It is not a de Polignac number, because 22111112100221 - 234 = 22093932231037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22111112100221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22111112100229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11055556050110 + 11055556050111.

It is an arithmetic number, because the mean of its divisors is an integer number (11055556050111).

Almost surely, 222111112100221 is an apocalyptic number.

It is an amenable number.

22111112100221 is a deficient number, since it is larger than the sum of its proper divisors (1).

22111112100221 is an equidigital number, since it uses as much as digits as its factorization.

22111112100221 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 17.

Adding to 22111112100221 its reverse (12200121111122), we get a palindrome (34311233211343).

The spelling of 22111112100221 in words is "twenty-two trillion, one hundred eleven billion, one hundred twelve million, one hundred thousand, two hundred twenty-one".