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10314232241 is a prime number
BaseRepresentation
bin10011001101100011…
…01011000110110001
3222121211001021201112
421212301223012301
5132110420412431
64423245443105
7513411345635
oct114661530661
928554037645
1010314232241
11441312a385
121bba270495
13c84b2c301
146dbb9cdc5
1540577dc2b
hex266c6b1b1

10314232241 has 2 divisors, whose sum is σ = 10314232242. Its totient is φ = 10314232240.

The previous prime is 10314232223. The next prime is 10314232259. The reversal of 10314232241 is 14223241301.

10314232241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10314232223) and next prime (10314232259).

It can be written as a sum of positive squares in only one way, i.e., 5442750625 + 4871481616 = 73775^2 + 69796^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10314232241 is a prime.

It is not a weakly prime, because it can be changed into another prime (10314232261) 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, 5157116120 + 5157116121.

It is an arithmetic number, because the mean of its divisors is an integer number (5157116121).

Almost surely, 210314232241 is an apocalyptic number.

It is an amenable number.

10314232241 is a deficient number, since it is larger than the sum of its proper divisors (1).

10314232241 is an equidigital number, since it uses as much as digits as its factorization.

10314232241 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 10314232241 its reverse (14223241301), we get a palindrome (24537473542).

The spelling of 10314232241 in words is "ten billion, three hundred fourteen million, two hundred thirty-two thousand, two hundred forty-one".