Search a number
-
+
41133044314133 is a prime number
BaseRepresentation
bin10010101101001000010000…
…11111101011000000010101
312101122021120120200212022122
421112210020133223000111
520342410433321023013
6223252132032105325
711443523116566362
oct1126441037530025
9171567516625278
1041133044314133
11121194761a7392
124743a39395245
1319c4aa2366725
14a22bc844b469
154b4e716e0a08
hex2569087eb015

41133044314133 has 2 divisors, whose sum is σ = 41133044314134. Its totient is φ = 41133044314132.

The previous prime is 41133044314129. The next prime is 41133044314147. The reversal of 41133044314133 is 33141344033114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38028706894564 + 3104337419569 = 6166742^2 + 1761913^2 .

It is a cyclic number.

It is not a de Polignac number, because 41133044314133 - 22 = 41133044314129 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 41133044314093 and 41133044314102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41133044314333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20566522157066 + 20566522157067.

It is an arithmetic number, because the mean of its divisors is an integer number (20566522157067).

Almost surely, 241133044314133 is an apocalyptic number.

It is an amenable number.

41133044314133 is a deficient number, since it is larger than the sum of its proper divisors (1).

41133044314133 is an equidigital number, since it uses as much as digits as its factorization.

41133044314133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 62208, while the sum is 35.

Adding to 41133044314133 its reverse (33141344033114), we get a palindrome (74274388347247).

The spelling of 41133044314133 in words is "forty-one trillion, one hundred thirty-three billion, forty-four million, three hundred fourteen thousand, one hundred thirty-three".