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401122232340241 is a prime number
BaseRepresentation
bin101101100110100011000110…
…0001010111000111100010001
31221121020220121001101210020111
41123031012030022320330101
5410033441312434341431
63541041002024441321
7150330060565266346
oct13315061412707421
91847226531353214
10401122232340241
1110689aa8aa149a5
1238ba4214019241
13142a8883346529
14710a5c36927cd
15315919a8047b1
hex16cd18c2b8f11

401122232340241 has 2 divisors, whose sum is σ = 401122232340242. Its totient is φ = 401122232340240.

The previous prime is 401122232340211. The next prime is 401122232340253. The reversal of 401122232340241 is 142043232221104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 352886707107841 + 48235525232400 = 18785279^2 + 6945180^2 .

It is a cyclic number.

It is not a de Polignac number, because 401122232340241 - 223 = 401122223951633 is a prime.

It is not a weakly prime, because it can be changed into another prime (401122232340211) 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, 200561116170120 + 200561116170121.

It is an arithmetic number, because the mean of its divisors is an integer number (200561116170121).

Almost surely, 2401122232340241 is an apocalyptic number.

It is an amenable number.

401122232340241 is a deficient number, since it is larger than the sum of its proper divisors (1).

401122232340241 is an equidigital number, since it uses as much as digits as its factorization.

401122232340241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 401122232340241 its reverse (142043232221104), we get a palindrome (543165464561345).

The spelling of 401122232340241 in words is "four hundred one trillion, one hundred twenty-two billion, two hundred thirty-two million, three hundred forty thousand, two hundred forty-one".