Search a number
-
+
105434413411 is a prime number
BaseRepresentation
bin110001000110001100…
…0010111100101100011
3101002010220110010222111
41202030120113211203
53211412202212121
6120234053220151
710421522504245
oct1421430274543
9332126403874
10105434413411
1140794a83358
1218525931657
139c3366b692
145162ac4095
152b213a12e1
hex188c617963

105434413411 has 2 divisors, whose sum is σ = 105434413412. Its totient is φ = 105434413410.

The previous prime is 105434413397. The next prime is 105434413421. The reversal of 105434413411 is 114314434501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105434413411 - 221 = 105432316259 is a prime.

It is a super-3 number, since 3×1054344134113 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (105434413421) 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, 52717206705 + 52717206706.

It is an arithmetic number, because the mean of its divisors is an integer number (52717206706).

Almost surely, 2105434413411 is an apocalyptic number.

105434413411 is a deficient number, since it is larger than the sum of its proper divisors (1).

105434413411 is an equidigital number, since it uses as much as digits as its factorization.

105434413411 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 105434413411 its reverse (114314434501), we get a palindrome (219748847912).

The spelling of 105434413411 in words is "one hundred five billion, four hundred thirty-four million, four hundred thirteen thousand, four hundred eleven".