Search a number
-
+
105047383817 is a prime number
BaseRepresentation
bin110000111010101001…
…1111101111100001001
3101001010221012000012002
41201311103331330021
53210114112240232
6120131430000345
710406113013135
oct1416523757411
9331127160162
10105047383817
1140606567292
12184381a60b5
139ba141b99c
1451275383c5
152aec400b62
hex18754fdf09

105047383817 has 2 divisors, whose sum is σ = 105047383818. Its totient is φ = 105047383816.

The previous prime is 105047383813. The next prime is 105047383829. The reversal of 105047383817 is 718383740501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71732373241 + 33315010576 = 267829^2 + 182524^2 .

It is a cyclic number.

It is not a de Polignac number, because 105047383817 - 22 = 105047383813 is a prime.

It is a super-2 number, since 2×1050473838172 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105047383813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52523691908 + 52523691909.

It is an arithmetic number, because the mean of its divisors is an integer number (52523691909).

Almost surely, 2105047383817 is an apocalyptic number.

It is an amenable number.

105047383817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105047383817 is an equidigital number, since it uses as much as digits as its factorization.

105047383817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 47.

The spelling of 105047383817 in words is "one hundred five billion, forty-seven million, three hundred eighty-three thousand, eight hundred seventeen".