Search a number
-
+
10313332241 is a prime number
BaseRepresentation
bin10011001101011100…
…01111011000010001
3222121202100120011012
421212232033120101
5132110203112431
64423214300305
7513400610012
oct114656173021
928552316135
1010313332241
114412675183
121bb9ab7695
13c848a5774
146dba07009
1540565222b
hex266b8f611

10313332241 has 2 divisors, whose sum is σ = 10313332242. Its totient is φ = 10313332240.

The previous prime is 10313332229. The next prime is 10313332279. The reversal of 10313332241 is 14223331301.

10313332241 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., 10302250000 + 11082241 = 101500^2 + 3329^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10313332241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10313331241) 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, 5156666120 + 5156666121.

It is an arithmetic number, because the mean of its divisors is an integer number (5156666121).

Almost surely, 210313332241 is an apocalyptic number.

It is an amenable number.

10313332241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313332241 is an equidigital number, since it uses as much as digits as its factorization.

10313332241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10313332241 its reverse (14223331301), we get a palindrome (24536663542).

The spelling of 10313332241 in words is "ten billion, three hundred thirteen million, three hundred thirty-two thousand, two hundred forty-one".