Search a number
-
+
105242204173 is a prime number
BaseRepresentation
bin110001000000011101…
…1001001100000001101
3101001122111202220110211
41202000323021200031
53211014001013143
6120203025402421
710413666655411
oct1420073114015
9331574686424
10105242204173
11406a6531747
1218491499411
139c028b14c2
14514536cd41
152b0e58549d
hex1880ec980d

105242204173 has 2 divisors, whose sum is σ = 105242204174. Its totient is φ = 105242204172.

The previous prime is 105242204047. The next prime is 105242204191. The reversal of 105242204173 is 371402242501.

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., 55282354884 + 49959849289 = 235122^2 + 223517^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105242204173 is a prime.

It is a super-2 number, since 2×1052422041732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105242201173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52621102086 + 52621102087.

It is an arithmetic number, because the mean of its divisors is an integer number (52621102087).

Almost surely, 2105242204173 is an apocalyptic number.

It is an amenable number.

105242204173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105242204173 is an equidigital number, since it uses as much as digits as its factorization.

105242204173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13440, while the sum is 31.

Adding to 105242204173 its reverse (371402242501), we get a palindrome (476644446674).

The spelling of 105242204173 in words is "one hundred five billion, two hundred forty-two million, two hundred four thousand, one hundred seventy-three".