Search a number
-
+
221022221221223 is a prime number
BaseRepresentation
bin110010010000010010111110…
…111110111011110101100111
31001222120111222121122222122122
4302100102332332323311213
5212432212002113034343
62102024112352020155
764361220453345122
oct6220227676736547
91058514877588578
10221022221221223
1164473aa7929714
122095770683165b
1396433c9467956
143c817655b33b9
151a84466417068
hexc904befbbd67

221022221221223 has 2 divisors, whose sum is σ = 221022221221224. Its totient is φ = 221022221221222.

The previous prime is 221022221221183. The next prime is 221022221221229. The reversal of 221022221221223 is 322122122220122.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 221022221221223 - 244 = 203430035176807 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 221022221221192 and 221022221221201.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221022221221229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 110511110610611 + 110511110610612.

It is an arithmetic number, because the mean of its divisors is an integer number (110511110610612).

Almost surely, 2221022221221223 is an apocalyptic number.

221022221221223 is a deficient number, since it is larger than the sum of its proper divisors (1).

221022221221223 is an equidigital number, since it uses as much as digits as its factorization.

221022221221223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 221022221221223 its reverse (322122122220122), we get a palindrome (543144343441345).

The spelling of 221022221221223 in words is "two hundred twenty-one trillion, twenty-two billion, two hundred twenty-one million, two hundred twenty-one thousand, two hundred twenty-three".