Search a number
-
+
10262210513 is a prime number
BaseRepresentation
bin10011000111010110…
…01110011111010001
3222111012011022022212
421203223032133101
5132004111214023
64414150441505
7512210231042
oct114353163721
928435138285
1010262210513
114396828715
121ba4963295
13c77116919
146d4cda8c9
15400e04e78
hex263ace7d1

10262210513 has 2 divisors, whose sum is σ = 10262210514. Its totient is φ = 10262210512.

The previous prime is 10262210473. The next prime is 10262210533. The reversal of 10262210513 is 31501226201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10183231744 + 78978769 = 100912^2 + 8887^2 .

It is an emirp because it is prime and its reverse (31501226201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10262210513 is a prime.

It is a super-2 number, since 2×102622105132 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10262210533) 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, 5131105256 + 5131105257.

It is an arithmetic number, because the mean of its divisors is an integer number (5131105257).

Almost surely, 210262210513 is an apocalyptic number.

It is an amenable number.

10262210513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10262210513 is an equidigital number, since it uses as much as digits as its factorization.

10262210513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 10262210513 its reverse (31501226201), we get a palindrome (41763436714).

The spelling of 10262210513 in words is "ten billion, two hundred sixty-two million, two hundred ten thousand, five hundred thirteen".