Search a number
-
+
222323212211101 is a prime number
BaseRepresentation
bin110010100011001110101000…
…000101101101001110011101
31002011011220001220201221102121
4302203032220011231032131
5213120020414311223401
62104501512420022541
764554215311323031
oct6243165005551635
91064156056657377
10222323212211101
1164925821380201
1220b27889b31a51
139708cb1966121
143cc87026021c1
151aa820c33dca1
hexca33a816d39d

222323212211101 has 2 divisors, whose sum is σ = 222323212211102. Its totient is φ = 222323212211100.

The previous prime is 222323212211083. The next prime is 222323212211129. The reversal of 222323212211101 is 101112212323222.

222323212211101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 181089476388601 + 41233735822500 = 13456949^2 + 6421350^2 .

It is a cyclic number.

It is not a de Polignac number, because 222323212211101 - 235 = 222288852472733 is a prime.

It is a super-2 number, since 2×2223232122111012 (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 (222323212211201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111161606105550 + 111161606105551.

It is an arithmetic number, because the mean of its divisors is an integer number (111161606105551).

Almost surely, 2222323212211101 is an apocalyptic number.

It is an amenable number.

222323212211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

222323212211101 is an equidigital number, since it uses as much as digits as its factorization.

222323212211101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 222323212211101 its reverse (101112212323222), we get a palindrome (323435424534323).

The spelling of 222323212211101 in words is "two hundred twenty-two trillion, three hundred twenty-three billion, two hundred twelve million, two hundred eleven thousand, one hundred one".