Search a number
-
+
10103319781 is a prime number
BaseRepresentation
bin10010110100011010…
…00110110011100101
3222002010011211012221
421122031012303211
5131142422213111
64350313112341
7505240541542
oct113215066345
928063154187
1010103319781
114315073765
121b5b6b86b1
13c50224039
146bbb79bc9
153e1ebb371
hex25a346ce5

10103319781 has 2 divisors, whose sum is σ = 10103319782. Its totient is φ = 10103319780.

The previous prime is 10103319767. The next prime is 10103319829. The reversal of 10103319781 is 18791330101.

10103319781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9748600225 + 354719556 = 98735^2 + 18834^2 .

It is an emirp because it is prime and its reverse (18791330101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10103319781 - 229 = 9566448869 is a prime.

It is a super-2 number, since 2×101033197812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10103319761) 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, 5051659890 + 5051659891.

It is an arithmetic number, because the mean of its divisors is an integer number (5051659891).

Almost surely, 210103319781 is an apocalyptic number.

It is an amenable number.

10103319781 is a deficient number, since it is larger than the sum of its proper divisors (1).

10103319781 is an equidigital number, since it uses as much as digits as its factorization.

10103319781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 34.

Adding to 10103319781 its reverse (18791330101), we get a palindrome (28894649882).

The spelling of 10103319781 in words is "ten billion, one hundred three million, three hundred nineteen thousand, seven hundred eighty-one".