Search a number
-
+
105304545433 is a prime number
BaseRepresentation
bin110001000010010100…
…0111101100010011001
3101001210212002011121101
41202010220331202121
53211130430423213
6120213133511401
710415354603353
oct1420450754231
9331725064541
10105304545433
114072874164a
12184aa342561
139c1279b019
14514d75a0d3
152b14c9bbdd
hex1884a3d899

105304545433 has 2 divisors, whose sum is σ = 105304545434. Its totient is φ = 105304545432.

The previous prime is 105304545413. The next prime is 105304545439. The reversal of 105304545433 is 334545403501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73309353049 + 31995192384 = 270757^2 + 178872^2 .

It is an emirp because it is prime and its reverse (334545403501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105304545433 - 29 = 105304544921 is a prime.

It is a super-2 number, since 2×1053045454332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105304545392 and 105304545401.

It is not a weakly prime, because it can be changed into another prime (105304545439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52652272716 + 52652272717.

It is an arithmetic number, because the mean of its divisors is an integer number (52652272717).

Almost surely, 2105304545433 is an apocalyptic number.

It is an amenable number.

105304545433 is a deficient number, since it is larger than the sum of its proper divisors (1).

105304545433 is an equidigital number, since it uses as much as digits as its factorization.

105304545433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216000, while the sum is 37.

Adding to 105304545433 its reverse (334545403501), we get a palindrome (439849948934).

The spelling of 105304545433 in words is "one hundred five billion, three hundred four million, five hundred forty-five thousand, four hundred thirty-three".