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10334024257 is a prime number
BaseRepresentation
bin10011001111111010…
…01011001001000001
3222200012021211021011
421213331023021001
5132131002234012
64425234000521
7514041520414
oct114775131101
928605254234
1010334024257
114423318417
122004a16141
13c88c6bb6b
14700671b7b
1540738d1a7
hex267f4b241

10334024257 has 2 divisors, whose sum is σ = 10334024258. Its totient is φ = 10334024256.

The previous prime is 10334024191. The next prime is 10334024263. The reversal of 10334024257 is 75242043301.

It is a happy number.

10334024257 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., 6431398416 + 3902625841 = 80196^2 + 62471^2 .

It is a cyclic number.

It is not a de Polignac number, because 10334024257 - 215 = 10333991489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10334024287) 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, 5167012128 + 5167012129.

It is an arithmetic number, because the mean of its divisors is an integer number (5167012129).

Almost surely, 210334024257 is an apocalyptic number.

It is an amenable number.

10334024257 is a deficient number, since it is larger than the sum of its proper divisors (1).

10334024257 is an equidigital number, since it uses as much as digits as its factorization.

10334024257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 10334024257 its reverse (75242043301), we get a palindrome (85576067558).

The spelling of 10334024257 in words is "ten billion, three hundred thirty-four million, twenty-four thousand, two hundred fifty-seven".