Search a number
-
+
41132144213 is a prime number
BaseRepresentation
bin100110010011101010…
…101011011001010101
310221011120101102101122
4212103222223121111
51133214312103323
630521300333325
72654202312536
oct462352533125
9127146342348
1041132144213
1116498028816
127b7b0a4245
133b567a9194
141dc2ab668d
15110b0bbec8
hex993aab655

41132144213 has 2 divisors, whose sum is σ = 41132144214. Its totient is φ = 41132144212.

The previous prime is 41132144203. The next prime is 41132144219. The reversal of 41132144213 is 31244123114.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 35540544484 + 5591599729 = 188522^2 + 74777^2 .

It is a cyclic number.

It is not a de Polignac number, because 41132144213 - 24 = 41132144197 is a prime.

It is a super-3 number, since 3×411321442133 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41132144219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20566072106 + 20566072107.

It is an arithmetic number, because the mean of its divisors is an integer number (20566072107).

Almost surely, 241132144213 is an apocalyptic number.

It is an amenable number.

41132144213 is a deficient number, since it is larger than the sum of its proper divisors (1).

41132144213 is an equidigital number, since it uses as much as digits as its factorization.

41132144213 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304, while the sum is 26.

Adding to 41132144213 its reverse (31244123114), we get a palindrome (72376267327).

The spelling of 41132144213 in words is "forty-one billion, one hundred thirty-two million, one hundred forty-four thousand, two hundred thirteen".