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10240331417 is a prime number
BaseRepresentation
bin10011000100101111…
…10000111010011001
3222102122222201211222
421202113300322121
5131433011101132
64412045501425
7511523244431
oct114227607231
928378881758
1010240331417
114385444618
121b99571875
13c72726104
146d20432c1
153ee032412
hex2625f0e99

10240331417 has 2 divisors, whose sum is σ = 10240331418. Its totient is φ = 10240331416.

The previous prime is 10240331407. The next prime is 10240331441. The reversal of 10240331417 is 71413304201.

10240331417 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., 8111524096 + 2128807321 = 90064^2 + 46139^2 .

It is a cyclic number.

It is not a de Polignac number, because 10240331417 - 28 = 10240331161 is a prime.

It is not a weakly prime, because it can be changed into another prime (10240331407) 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, 5120165708 + 5120165709.

It is an arithmetic number, because the mean of its divisors is an integer number (5120165709).

Almost surely, 210240331417 is an apocalyptic number.

It is an amenable number.

10240331417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240331417 is an equidigital number, since it uses as much as digits as its factorization.

10240331417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 10240331417 its reverse (71413304201), we get a palindrome (81653635618).

The spelling of 10240331417 in words is "ten billion, two hundred forty million, three hundred thirty-one thousand, four hundred seventeen".