Search a number
-
+
10846131193 is a prime number
BaseRepresentation
bin10100001100111101…
…01101001111111001
31000222212220112220201
422012132231033321
5134203102144233
64552130122201
7532530410512
oct120636551771
930885815821
1010846131193
1146663a3997
122128420361
13103b0a2811
1474c699a09
154372e877d
hex2867ad3f9

10846131193 has 2 divisors, whose sum is σ = 10846131194. Its totient is φ = 10846131192.

The previous prime is 10846131151. The next prime is 10846131199. The reversal of 10846131193 is 39113164801.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8939324304 + 1906806889 = 94548^2 + 43667^2 .

It is an emirp because it is prime and its reverse (39113164801) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10846131193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10846131199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5423065596 + 5423065597.

It is an arithmetic number, because the mean of its divisors is an integer number (5423065597).

Almost surely, 210846131193 is an apocalyptic number.

It is an amenable number.

10846131193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10846131193 is an equidigital number, since it uses as much as digits as its factorization.

10846131193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 37.

Adding to 10846131193 its reverse (39113164801), we get a palindrome (49959295994).

The spelling of 10846131193 in words is "ten billion, eight hundred forty-six million, one hundred thirty-one thousand, one hundred ninety-three".