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204241112321 is a prime number
BaseRepresentation
bin1011111000110110111…
…0000000110100000001
3201112011220200111212112
42332031232000310001
511321241211043241
6233454351505105
720520166544651
oct2761556006401
9645156614775
10204241112321
1179688868704
12336bbb28195
131634bb90aac
149c5747a361
1554a59751eb
hex2f8db80d01

204241112321 has 2 divisors, whose sum is σ = 204241112322. Its totient is φ = 204241112320.

The previous prime is 204241112293. The next prime is 204241112323. The reversal of 204241112321 is 123211142402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 161251236721 + 42989875600 = 401561^2 + 207340^2 .

It is a cyclic number.

It is not a de Polignac number, because 204241112321 - 210 = 204241111297 is a prime.

Together with 204241112323, 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 (204241112323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102120556160 + 102120556161.

It is an arithmetic number, because the mean of its divisors is an integer number (102120556161).

Almost surely, 2204241112321 is an apocalyptic number.

It is an amenable number.

204241112321 is a deficient number, since it is larger than the sum of its proper divisors (1).

204241112321 is an equidigital number, since it uses as much as digits as its factorization.

204241112321 is an odious number, because the sum of its binary digits is odd.

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

Adding to 204241112321 its reverse (123211142402), we get a palindrome (327452254723).

The spelling of 204241112321 in words is "two hundred four billion, two hundred forty-one million, one hundred twelve thousand, three hundred twenty-one".