Search a number
-
+
10241115100409 is a prime number
BaseRepresentation
bin1001010100000111001000…
…0001110001010011111001
31100021001002220211110000102
42111001302001301103321
52320242300431203114
633440411530245145
72104616244026564
oct225016201612371
940231086743012
1010241115100409
113299261541746
1211949688867b5
1359396b566b7b
1427595b92b4db
1512b5dcc192de
hex950720714f9

10241115100409 has 2 divisors, whose sum is σ = 10241115100410. Its totient is φ = 10241115100408.

The previous prime is 10241115100369. The next prime is 10241115100441. The reversal of 10241115100409 is 90400151114201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6457331512384 + 3783783588025 = 2541128^2 + 1945195^2 .

It is an emirp because it is prime and its reverse (90400151114201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10241115100409 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10241115105409) 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, 5120557550204 + 5120557550205.

It is an arithmetic number, because the mean of its divisors is an integer number (5120557550205).

Almost surely, 210241115100409 is an apocalyptic number.

It is an amenable number.

10241115100409 is a deficient number, since it is larger than the sum of its proper divisors (1).

10241115100409 is an equidigital number, since it uses as much as digits as its factorization.

10241115100409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 10241115100409 in words is "ten trillion, two hundred forty-one billion, one hundred fifteen million, one hundred thousand, four hundred nine".