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4331205041 is a prime number
BaseRepresentation
bin1000000100010100…
…01111000110110001
3102011211221000100112
410002022033012301
532332242030131
61553440431105
7212221430642
oct40212170661
912154830315
104331205041
1119229414a9
12a0a618495
13540426b27
142d132b6c9
151a539a02b
hex10228f1b1

4331205041 has 2 divisors, whose sum is σ = 4331205042. Its totient is φ = 4331205040.

The previous prime is 4331205037. The next prime is 4331205091. The reversal of 4331205041 is 1405021334.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4031742016 + 299463025 = 63496^2 + 17305^2 .

It is a cyclic number.

It is not a de Polignac number, because 4331205041 - 22 = 4331205037 is a prime.

It is a super-3 number, since 3×43312050413 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4331204998 and 4331205016.

It is not a weakly prime, because it can be changed into another prime (4331205031) 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, 2165602520 + 2165602521.

It is an arithmetic number, because the mean of its divisors is an integer number (2165602521).

Almost surely, 24331205041 is an apocalyptic number.

It is an amenable number.

4331205041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4331205041 is an equidigital number, since it uses as much as digits as its factorization.

4331205041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 4331205041 is about 65811.8913343174. The cubic root of 4331205041 is about 1630.0574635669.

Adding to 4331205041 its reverse (1405021334), we get a palindrome (5736226375).

The spelling of 4331205041 in words is "four billion, three hundred thirty-one million, two hundred five thousand, forty-one".