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223111320161 is a prime number
BaseRepresentation
bin1100111111001001111…
…0001001001001100001
3210022220000022101122012
43033302132021021201
512123412444221121
6250255041522305
722055622634112
oct3176236111141
9708800271565
10223111320161
11866915840a4
12372a7643395
1318068486552
14ab276aa209
155c0c422c5b
hex33f2789261

223111320161 has 2 divisors, whose sum is σ = 223111320162. Its totient is φ = 223111320160.

The previous prime is 223111320139. The next prime is 223111320167. The reversal of 223111320161 is 161023111322.

223111320161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168941550625 + 54169769536 = 411025^2 + 232744^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223111320161 is a prime.

It is a super-3 number, since 3×2231113201613 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (223111320167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111555660080 + 111555660081.

It is an arithmetic number, because the mean of its divisors is an integer number (111555660081).

Almost surely, 2223111320161 is an apocalyptic number.

It is an amenable number.

223111320161 is a deficient number, since it is larger than the sum of its proper divisors (1).

223111320161 is an equidigital number, since it uses as much as digits as its factorization.

223111320161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 223111320161 its reverse (161023111322), we get a palindrome (384134431483).

The spelling of 223111320161 in words is "two hundred twenty-three billion, one hundred eleven million, three hundred twenty thousand, one hundred sixty-one".