Search a number
-
+
10305137 is a prime number
BaseRepresentation
bin100111010011…
…111001110001
3201101112222202
4213103321301
510114231022
61004512545
7153410063
oct47237161
921345882
1010305137
1158a9447
12354b755
13219a71b
141523733
15d88592
hex9d3e71

10305137 has 2 divisors, whose sum is σ = 10305138. Its totient is φ = 10305136.

The previous prime is 10305133. The next prime is 10305149. The reversal of 10305137 is 73150301.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10137856 + 167281 = 3184^2 + 409^2 .

It is a cyclic number.

It is not a de Polignac number, because 10305137 - 22 = 10305133 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10305133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5152568 + 5152569.

It is an arithmetic number, because the mean of its divisors is an integer number (5152569).

Almost surely, 210305137 is an apocalyptic number.

It is an amenable number.

10305137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10305137 is an equidigital number, since it uses as much as digits as its factorization.

10305137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315, while the sum is 20.

The square root of 10305137 is about 3210.1615224160. The cubic root of 10305137 is about 217.6128766282.

Adding to 10305137 its reverse (73150301), we get a palindrome (83455438).

The spelling of 10305137 in words is "ten million, three hundred five thousand, one hundred thirty-seven".