Search a number
-
+
1010191823393 is a prime number
BaseRepresentation
bin11101011001101000001…
…11111111001000100001
310120120111000010200211112
432230310013333020201
5113022333101322033
62052024204353105
7132661331551604
oct16546407771041
93516430120745
101010191823393
1135a468a48735
12143947245795
137435093967c
1436c71c6033b
151b4263b5c48
hexeb341ff221

1010191823393 has 2 divisors, whose sum is σ = 1010191823394. Its totient is φ = 1010191823392.

The previous prime is 1010191823353. The next prime is 1010191823411. The reversal of 1010191823393 is 3933281910101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 905042087569 + 105149735824 = 951337^2 + 324268^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010191823393 - 212 = 1010191819297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010191823393.

It is not a weakly prime, because it can be changed into another prime (1010191823353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505095911696 + 505095911697.

It is an arithmetic number, because the mean of its divisors is an integer number (505095911697).

Almost surely, 21010191823393 is an apocalyptic number.

It is an amenable number.

1010191823393 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010191823393 is an equidigital number, since it uses as much as digits as its factorization.

1010191823393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34992, while the sum is 41.

The spelling of 1010191823393 in words is "one trillion, ten billion, one hundred ninety-one million, eight hundred twenty-three thousand, three hundred ninety-three".