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105041315297 is a prime number
BaseRepresentation
bin110000111010011110…
…0110100010111100001
3101001010111202200202002
41201310330310113201
53210111034042142
6120131051533345
710406010306512
oct1416474642741
9331114680662
10105041315297
11406030a1986
121843615a255
139ba00a5749
1451267d8a09
152aebb02a32
hex1874f345e1

105041315297 has 2 divisors, whose sum is σ = 105041315298. Its totient is φ = 105041315296.

The previous prime is 105041315243. The next prime is 105041315303. The reversal of 105041315297 is 792513140501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89108817121 + 15932498176 = 298511^2 + 126224^2 .

It is a cyclic number.

It is not a de Polignac number, because 105041315297 - 226 = 104974206433 is a prime.

It is a super-2 number, since 2×1050413152972 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105041315297.

It is not a weakly prime, because it can be changed into another prime (105041315207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52520657648 + 52520657649.

It is an arithmetic number, because the mean of its divisors is an integer number (52520657649).

Almost surely, 2105041315297 is an apocalyptic number.

It is an amenable number.

105041315297 is a deficient number, since it is larger than the sum of its proper divisors (1).

105041315297 is an equidigital number, since it uses as much as digits as its factorization.

105041315297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 38.

Adding to 105041315297 its reverse (792513140501), we get a palindrome (897554455798).

The spelling of 105041315297 in words is "one hundred five billion, forty-one million, three hundred fifteen thousand, two hundred ninety-seven".