Search a number
-
+
104801091041 is a prime number
BaseRepresentation
bin110000110011010100…
…0011011110111100001
3101000111202202001000102
41201212220123313201
53204113034403131
6120051151032145
710400032401323
oct1414650336741
9330452661012
10104801091041
114049a535939
121838980b655
139b623a680a
145102945613
152ad59a01cb
hex1866a1bde1

104801091041 has 2 divisors, whose sum is σ = 104801091042. Its totient is φ = 104801091040.

The previous prime is 104801091029. The next prime is 104801091049. The reversal of 104801091041 is 140190108401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103638281041 + 1162810000 = 321929^2 + 34100^2 .

It is a cyclic number.

It is not a de Polignac number, because 104801091041 - 214 = 104801074657 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104801090995 and 104801091013.

It is not a weakly prime, because it can be changed into another prime (104801091049) 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, 52400545520 + 52400545521.

It is an arithmetic number, because the mean of its divisors is an integer number (52400545521).

Almost surely, 2104801091041 is an apocalyptic number.

It is an amenable number.

104801091041 is a deficient number, since it is larger than the sum of its proper divisors (1).

104801091041 is an equidigital number, since it uses as much as digits as its factorization.

104801091041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 29.

Adding to 104801091041 its reverse (140190108401), we get a palindrome (244991199442).

The spelling of 104801091041 in words is "one hundred four billion, eight hundred one million, ninety-one thousand, forty-one".