Search a number
-
+
10031353441 is a prime number
BaseRepresentation
bin10010101011110101…
…00100111001100001
3221220002202112221221
421111322210321201
5131021011302231
64335222415041
7503405045254
oct112572447141
927802675857
1010031353441
11428848a34a
121b3b591481
13c3b3474c5
146b23a509b
153daa02d11
hex255ea4e61

10031353441 has 2 divisors, whose sum is σ = 10031353442. Its totient is φ = 10031353440.

The previous prime is 10031353439. The next prime is 10031353459. The reversal of 10031353441 is 14435313001.

10031353441 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., 6448732416 + 3582621025 = 80304^2 + 59855^2 .

It is an emirp because it is prime and its reverse (14435313001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10031353441 - 21 = 10031353439 is a prime.

Together with 10031353439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (10031353741) 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, 5015676720 + 5015676721.

It is an arithmetic number, because the mean of its divisors is an integer number (5015676721).

Almost surely, 210031353441 is an apocalyptic number.

It is an amenable number.

10031353441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10031353441 is an equidigital number, since it uses as much as digits as its factorization.

10031353441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10031353441 its reverse (14435313001), we get a palindrome (24466666442).

The spelling of 10031353441 in words is "ten billion, thirty-one million, three hundred fifty-three thousand, four hundred forty-one".