Search a number
-
+
10033310113 is a prime number
BaseRepresentation
bin10010101100000100…
…00010100110100001
3221220020102222000021
421112002002212201
5131022011410423
64335332353441
7503430504661
oct112602024641
927806388007
1010033310113
1142895a6432
121b40175881
13c3b880cb8
146b27541a1
153dac8c95d
hex2560829a1

10033310113 has 2 divisors, whose sum is σ = 10033310114. Its totient is φ = 10033310112.

The previous prime is 10033310059. The next prime is 10033310123. The reversal of 10033310113 is 31101333001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7609421824 + 2423888289 = 87232^2 + 49233^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10033310113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10033310123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016655056 + 5016655057.

It is an arithmetic number, because the mean of its divisors is an integer number (5016655057).

Almost surely, 210033310113 is an apocalyptic number.

It is an amenable number.

10033310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033310113 is an equidigital number, since it uses as much as digits as its factorization.

10033310113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10033310113 its reverse (31101333001), we get a palindrome (41134643114).

The spelling of 10033310113 in words is "ten billion, thirty-three million, three hundred ten thousand, one hundred thirteen".