Search a number
-
+
10033310041 is a prime number
BaseRepresentation
bin10010101100000100…
…00010100101011001
3221220020102221220121
421112002002211121
5131022011410131
64335332353241
7503430504526
oct112602024531
927806387817
1010033310041
1142895a6377
121b40175821
13c3b880c61
146b275414d
153dac8c911
hex256082959

10033310041 has 2 divisors, whose sum is σ = 10033310042. Its totient is φ = 10033310040.

The previous prime is 10033309973. The next prime is 10033310059. The reversal of 10033310041 is 14001333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8321088400 + 1712221641 = 91220^2 + 41379^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033310041 - 29 = 10033309529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10033309997 and 10033310024.

It is not a weakly prime, because it can be changed into another prime (10033313041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016655020 + 5016655021.

It is an arithmetic number, because the mean of its divisors is an integer number (5016655021).

Almost surely, 210033310041 is an apocalyptic number.

It is an amenable number.

10033310041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033310041 is an equidigital number, since it uses as much as digits as its factorization.

10033310041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10033310041 its reverse (14001333001), we get a palindrome (24034643042).

The spelling of 10033310041 in words is "ten billion, thirty-three million, three hundred ten thousand, forty-one".