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202201221112193 is a prime number
BaseRepresentation
bin101101111110011010100011…
…111101010010000110000001
3222111221020200202111112001102
4231332122203331102012001
5203000331100101042233
61554013543021144145
760406361520125462
oct5576324375220601
9874836622445042
10202201221112193
1159478068a40a66
121a817b4b9bb055
1388a9654b192c4
1437d083c81cd69
151859ab77ec1e8
hexb7e6a3f52181

202201221112193 has 2 divisors, whose sum is σ = 202201221112194. Its totient is φ = 202201221112192.

The previous prime is 202201221112091. The next prime is 202201221112207. The reversal of 202201221112193 is 391211122102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 160526036592769 + 41675184519424 = 12669887^2 + 6455632^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201221112193 - 242 = 197803174601089 is a prime.

It is a super-4 number, since 4×2022012211121934 (a number of 58 digits) contains 4444 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (202201224112193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100610556096 + 101100610556097.

It is an arithmetic number, because the mean of its divisors is an integer number (101100610556097).

Almost surely, 2202201221112193 is an apocalyptic number.

It is an amenable number.

202201221112193 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201221112193 is an equidigital number, since it uses as much as digits as its factorization.

202201221112193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 29.

Adding to 202201221112193 its reverse (391211122102202), we get a palindrome (593412343214395).

The spelling of 202201221112193 in words is "two hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred ninety-three".