Search a number
-
+
10343857309 is a prime number
BaseRepresentation
bin10011010001000101…
…01011110010011101
3222200212210101200021
421220202223302131
5132141011413214
64430224432141
7514221223252
oct115042536235
928625711607
1010343857309
114428924105
122008178651
13c8b002736
14701ab1429
15408181924
hex2688abc9d

10343857309 has 2 divisors, whose sum is σ = 10343857310. Its totient is φ = 10343857308.

The previous prime is 10343857211. The next prime is 10343857319. The reversal of 10343857309 is 90375834301.

It is a happy number.

10343857309 is digitally balanced in base 2, because in such base 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., 10119756409 + 224100900 = 100597^2 + 14970^2 .

It is an emirp because it is prime and its reverse (90375834301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10343857309 - 227 = 10209639581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10343857319) 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, 5171928654 + 5171928655.

It is an arithmetic number, because the mean of its divisors is an integer number (5171928655).

Almost surely, 210343857309 is an apocalyptic number.

It is an amenable number.

10343857309 is a deficient number, since it is larger than the sum of its proper divisors (1).

10343857309 is an equidigital number, since it uses as much as digits as its factorization.

10343857309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 10343857309 in words is "ten billion, three hundred forty-three million, eight hundred fifty-seven thousand, three hundred nine".