Search a number
-
+
10010410111241 is a prime number
BaseRepresentation
bin1001000110101011101011…
…1100000101000100001001
31022102222121200200200210222
42101222322330011010021
52303002304442024431
633142415141515425
72052141203002661
oct221527274050411
938388550620728
1010010410111241
11320a43359a741
121158102112b75
13577c92ab7667
142687139291a1
151255d8d1057b
hex91abaf05109

10010410111241 has 2 divisors, whose sum is σ = 10010410111242. Its totient is φ = 10010410111240.

The previous prime is 10010410111201. The next prime is 10010410111253. The reversal of 10010410111241 is 14211101401001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8905449640000 + 1104960471241 = 2984200^2 + 1051171^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10010410111241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010410111201) 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, 5005205055620 + 5005205055621.

It is an arithmetic number, because the mean of its divisors is an integer number (5005205055621).

Almost surely, 210010410111241 is an apocalyptic number.

It is an amenable number.

10010410111241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010410111241 is an equidigital number, since it uses as much as digits as its factorization.

10010410111241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10010410111241 its reverse (14211101401001), we get a palindrome (24221511512242).

The spelling of 10010410111241 in words is "ten trillion, ten billion, four hundred ten million, one hundred eleven thousand, two hundred forty-one".