Search a number
-
+
104441244133 is a prime number
BaseRepresentation
bin110000101000100101…
…1101110100111100101
3100222120200121220212011
41201101023232213211
53202343424303013
6115551334154221
710355102633062
oct1412113564745
9328520556764
10104441244133
11403253a55a6
12182a91b2971
139b05983655
1450aac33c69
152ab40bdc3d
hex18512ee9e5

104441244133 has 2 divisors, whose sum is σ = 104441244134. Its totient is φ = 104441244132.

The previous prime is 104441244109. The next prime is 104441244151. The reversal of 104441244133 is 331442144401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103463868964 + 977375169 = 321658^2 + 31263^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-104441244133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104441244095 and 104441244104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104441244163) 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, 52220622066 + 52220622067.

It is an arithmetic number, because the mean of its divisors is an integer number (52220622067).

Almost surely, 2104441244133 is an apocalyptic number.

It is an amenable number.

104441244133 is a deficient number, since it is larger than the sum of its proper divisors (1).

104441244133 is an equidigital number, since it uses as much as digits as its factorization.

104441244133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 104441244133 its reverse (331442144401), we get a palindrome (435883388534).

The spelling of 104441244133 in words is "one hundred four billion, four hundred forty-one million, two hundred forty-four thousand, one hundred thirty-three".