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223102002161 is a prime number
BaseRepresentation
bin1100111111000111101…
…0100110001111110001
3210022212100202222202002
43033301322212033301
512123403103032121
6250254110103345
722055450504663
oct3176172461761
9708770688662
10223102002161
118668729a375
12372a44aab55
131806657323c
14ab26362533
155c0b6d1e0b
hex33f1ea63f1

223102002161 has 2 divisors, whose sum is σ = 223102002162. Its totient is φ = 223102002160.

The previous prime is 223102002121. The next prime is 223102002163. The reversal of 223102002161 is 161200201322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 187450897936 + 35651104225 = 432956^2 + 188815^2 .

It is a cyclic number.

It is not a de Polignac number, because 223102002161 - 222 = 223097807857 is a prime.

It is a super-3 number, since 3×2231020021613 (a number of 35 digits) contains 333 as substring.

Together with 223102002163, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (223102002163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111551001080 + 111551001081.

It is an arithmetic number, because the mean of its divisors is an integer number (111551001081).

Almost surely, 2223102002161 is an apocalyptic number.

It is an amenable number.

223102002161 is a deficient number, since it is larger than the sum of its proper divisors (1).

223102002161 is an equidigital number, since it uses as much as digits as its factorization.

223102002161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 223102002161 its reverse (161200201322), we get a palindrome (384302203483).

The spelling of 223102002161 in words is "two hundred twenty-three billion, one hundred two million, two thousand, one hundred sixty-one".