Search a number
-
+
10240331393 is a prime number
BaseRepresentation
bin10011000100101111…
…10000111010000001
3222102122222201211002
421202113300322001
5131433011101033
64412045501345
7511523244365
oct114227607201
928378881732
1010240331393
1143854445a6
121b99571855
13c727260b6
146d20432a5
153ee0323e8
hex2625f0e81

10240331393 has 2 divisors, whose sum is σ = 10240331394. Its totient is φ = 10240331392.

The previous prime is 10240331369. The next prime is 10240331399. The reversal of 10240331393 is 39313304201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9683937649 + 556393744 = 98407^2 + 23588^2 .

It is a cyclic number.

It is not a de Polignac number, because 10240331393 - 26 = 10240331329 is a prime.

It is a super-2 number, since 2×102403313932 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10240331399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5120165696 + 5120165697.

It is an arithmetic number, because the mean of its divisors is an integer number (5120165697).

Almost surely, 210240331393 is an apocalyptic number.

It is an amenable number.

10240331393 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240331393 is an equidigital number, since it uses as much as digits as its factorization.

10240331393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 10240331393 its reverse (39313304201), we get a palindrome (49553635594).

The spelling of 10240331393 in words is "ten billion, two hundred forty million, three hundred thirty-one thousand, three hundred ninety-three".