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223100041 is a prime number
BaseRepresentation
bin11010100110000…
…11110010001001
3120112210122201111
431103003302021
5424103200131
634045450321
75346214303
oct1523036211
9515718644
10223100041
11104a303aa
12628709a1
13372b4778
14218b6973
15148bdab1
hexd4c3c89

223100041 has 2 divisors, whose sum is σ = 223100042. Its totient is φ = 223100040.

The previous prime is 223100021. The next prime is 223100083. The reversal of 223100041 is 140001322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 196112016 + 26988025 = 14004^2 + 5195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223100041 is a prime.

It is a super-3 number, since 3×2231000413 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 223099994 and 223100030.

It is not a weakly prime, because it can be changed into another prime (223100021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111550020 + 111550021.

It is an arithmetic number, because the mean of its divisors is an integer number (111550021).

Almost surely, 2223100041 is an apocalyptic number.

It is an amenable number.

223100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

223100041 is an equidigital number, since it uses as much as digits as its factorization.

223100041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 223100041 is about 14936.5337679128. The cubic root of 223100041 is about 606.5033677066.

Adding to 223100041 its reverse (140001322), we get a palindrome (363101363).

The spelling of 223100041 in words is "two hundred twenty-three million, one hundred thousand, forty-one".