Search a number
-
+
10605527297 is a prime number
BaseRepresentation
bin10011110000010001…
…11000000100000001
31000101010011121102022
421320020320010001
5133210003333142
64512213131225
7523546331441
oct117010700401
930333147368
1010605527297
1145525a86a2
12207b929b15
13100029cb51
14728748121
1542111d6d2
hex278238101

10605527297 has 2 divisors, whose sum is σ = 10605527298. Its totient is φ = 10605527296.

The previous prime is 10605527287. The next prime is 10605527461. The reversal of 10605527297 is 79272550601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9081327616 + 1524199681 = 95296^2 + 39041^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605527297 - 24 = 10605527281 is a prime.

It is a super-2 number, since 2×106055272972 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10605527287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5302763648 + 5302763649.

It is an arithmetic number, because the mean of its divisors is an integer number (5302763649).

Almost surely, 210605527297 is an apocalyptic number.

It is an amenable number.

10605527297 is a deficient number, since it is larger than the sum of its proper divisors (1).

10605527297 is an equidigital number, since it uses as much as digits as its factorization.

10605527297 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 44.

The spelling of 10605527297 in words is "ten billion, six hundred five million, five hundred twenty-seven thousand, two hundred ninety-seven".