Search a number
-
+
9990105241 is a prime number
BaseRepresentation
bin10010100110111010…
…01110100010011001
3221210020010221001211
421103131032202121
5130424431331431
64331150343121
7502364331154
oct112335164231
927706127054
109990105241
114267176a26
121b297baaa1
13c3293479c
146aab08c9b
153d70a62b1
hex25374e899

9990105241 has 2 divisors, whose sum is σ = 9990105242. Its totient is φ = 9990105240.

The previous prime is 9990105211. The next prime is 9990105259. The reversal of 9990105241 is 1425010999.

9990105241 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8790937600 + 1199167641 = 93760^2 + 34629^2 .

It is an emirp because it is prime and its reverse (1425010999) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9990105241 - 221 = 9988008089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9990105194 and 9990105203.

It is not a weakly prime, because it can be changed into another prime (9990105211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4995052620 + 4995052621.

It is an arithmetic number, because the mean of its divisors is an integer number (4995052621).

Almost surely, 29990105241 is an apocalyptic number.

It is an amenable number.

9990105241 is a deficient number, since it is larger than the sum of its proper divisors (1).

9990105241 is an equidigital number, since it uses as much as digits as its factorization.

9990105241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 40.

The square root of 9990105241 is about 99950.5139606596. The cubic root of 9990105241 is about 2153.7238684654.

The spelling of 9990105241 in words is "nine billion, nine hundred ninety million, one hundred five thousand, two hundred forty-one".