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200201201022241 is a prime number
BaseRepresentation
bin101101100001010011111001…
…011110000111010100100001
3222020212001021220211222212001
4231201103321132013110201
5202220044024430202431
61545443055001404001
760112026251635216
oct5541237136072441
9866761256758761
10200201201022241
1158876941819311
121a554401199601
138792b7a36c8b3
143761b0b41db0d
151822a5cba1e61
hexb614f9787521

200201201022241 has 2 divisors, whose sum is σ = 200201201022242. Its totient is φ = 200201201022240.

The previous prime is 200201201022197. The next prime is 200201201022247. The reversal of 200201201022241 is 142220102102002.

200201201022241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194548238283025 + 5652962739216 = 13948055^2 + 2377596^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201201022241 - 215 = 200201200989473 is a prime.

It is not a weakly prime, because it can be changed into another prime (200201201022247) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100600511120 + 100100600511121.

It is an arithmetic number, because the mean of its divisors is an integer number (100100600511121).

Almost surely, 2200201201022241 is an apocalyptic number.

It is an amenable number.

200201201022241 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201201022241 is an equidigital number, since it uses as much as digits as its factorization.

200201201022241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 200201201022241 its reverse (142220102102002), we get a palindrome (342421303124243).

The spelling of 200201201022241 in words is "two hundred trillion, two hundred one billion, two hundred one million, twenty-two thousand, two hundred forty-one".