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223122214121 is a prime number
BaseRepresentation
bin1100111111001100011…
…1101100110011101001
3210022220202210212100012
43033303013230303221
512123423241322441
6250300111221305
722056114345662
oct3176307546351
9708822725305
10223122214121
1186697744974
12372ab217835
131806a7cbc91
14ab28d04369
155c0d3759eb
hex33f31ecce9

223122214121 has 2 divisors, whose sum is σ = 223122214122. Its totient is φ = 223122214120.

The previous prime is 223122214111. The next prime is 223122214123. The reversal of 223122214121 is 121412221322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 174774999721 + 48347214400 = 418061^2 + 219880^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223122214121 is a prime.

It is a super-3 number, since 3×2231222141213 (a number of 35 digits) contains 333 as substring.

Together with 223122214123, 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 (223122214123) 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, 111561107060 + 111561107061.

It is an arithmetic number, because the mean of its divisors is an integer number (111561107061).

Almost surely, 2223122214121 is an apocalyptic number.

It is an amenable number.

223122214121 is a deficient number, since it is larger than the sum of its proper divisors (1).

223122214121 is an equidigital number, since it uses as much as digits as its factorization.

223122214121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 768, while the sum is 23.

Adding to 223122214121 its reverse (121412221322), we get a palindrome (344534435443).

The spelling of 223122214121 in words is "two hundred twenty-three billion, one hundred twenty-two million, two hundred fourteen thousand, one hundred twenty-one".