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41114311081 is a prime number
BaseRepresentation
bin100110010010100110…
…101001100110101001
310221010022211101221021
4212102212221212221
51133200230423311
630515422212441
72653564610104
oct462246514651
9127108741837
1041114311081
1116488a58498
127b75124121
133b52ba412c
141dc059373b
151109748171
hex9929a99a9

41114311081 has 2 divisors, whose sum is σ = 41114311082. Its totient is φ = 41114311080.

The previous prime is 41114311057. The next prime is 41114311097. The reversal of 41114311081 is 18011341114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41113645225 + 665856 = 202765^2 + 816^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41114311081 is a prime.

It is a super-3 number, since 3×411143110813 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (41114311981) 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, 20557155540 + 20557155541.

It is an arithmetic number, because the mean of its divisors is an integer number (20557155541).

Almost surely, 241114311081 is an apocalyptic number.

It is an amenable number.

41114311081 is a deficient number, since it is larger than the sum of its proper divisors (1).

41114311081 is an equidigital number, since it uses as much as digits as its factorization.

41114311081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 25.

Adding to 41114311081 its reverse (18011341114), we get a palindrome (59125652195).

It can be divided in two parts, 411143 and 11081, that added together give a palindrome (422224).

The spelling of 41114311081 in words is "forty-one billion, one hundred fourteen million, three hundred eleven thousand, eighty-one".