Search a number
-
+
10741563281 is a prime number
BaseRepresentation
bin10100000000011111…
…10011111110010001
31000201121010221201002
422000033303332101
5133444320011111
64533512551345
7530120532011
oct120017637621
930647127632
1010741563281
114612372529
1220b93b2555
13102251cb07
1473c839c41
1542d04063b
hex2803f3f91

10741563281 has 2 divisors, whose sum is σ = 10741563282. Its totient is φ = 10741563280.

The previous prime is 10741563221. The next prime is 10741563289. The reversal of 10741563281 is 18236514701.

10741563281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10301235025 + 440328256 = 101495^2 + 20984^2 .

It is an emirp because it is prime and its reverse (18236514701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10741563281 - 210 = 10741562257 is a prime.

It is a super-2 number, since 2×107415632812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10741563289) 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, 5370781640 + 5370781641.

It is an arithmetic number, because the mean of its divisors is an integer number (5370781641).

Almost surely, 210741563281 is an apocalyptic number.

It is an amenable number.

10741563281 is a deficient number, since it is larger than the sum of its proper divisors (1).

10741563281 is an equidigital number, since it uses as much as digits as its factorization.

10741563281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 10741563281 in words is "ten billion, seven hundred forty-one million, five hundred sixty-three thousand, two hundred eighty-one".