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10240331441 is a prime number
BaseRepresentation
bin10011000100101111…
…10000111010110001
3222102122222201212212
421202113300322301
5131433011101231
64412045501505
7511523244464
oct114227607261
928378881785
1010240331441
11438544463a
121b99571895
13c72726122
146d20432db
153ee03242b
hex2625f0eb1

10240331441 has 2 divisors, whose sum is σ = 10240331442. Its totient is φ = 10240331440.

The previous prime is 10240331417. The next prime is 10240331461. The reversal of 10240331441 is 14413304201.

10240331441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6361657600 + 3878673841 = 79760^2 + 62279^2 .

It is an emirp because it is prime and its reverse (14413304201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10240331441 - 222 = 10236137137 is a prime.

It is not a weakly prime, because it can be changed into another prime (10240331461) 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, 5120165720 + 5120165721.

It is an arithmetic number, because the mean of its divisors is an integer number (5120165721).

Almost surely, 210240331441 is an apocalyptic number.

It is an amenable number.

10240331441 is a deficient number, since it is larger than the sum of its proper divisors (1).

10240331441 is an equidigital number, since it uses as much as digits as its factorization.

10240331441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 10240331441 its reverse (14413304201), we get a palindrome (24653635642).

The spelling of 10240331441 in words is "ten billion, two hundred forty million, three hundred thirty-one thousand, four hundred forty-one".