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10293857417 is a prime number
BaseRepresentation
bin10011001011000111…
…11100110010001001
3222120101201010201102
421211203330302021
5132040211414132
64421241031145
7513043226054
oct114543746211
928511633642
1010293857417
114402683488
121bb34854b5
13c808473bc
146d91b7a9b
15403aa6c62
hex2658fcc89

10293857417 has 2 divisors, whose sum is σ = 10293857418. Its totient is φ = 10293857416.

The previous prime is 10293857393. The next prime is 10293857423. The reversal of 10293857417 is 71475839201.

10293857417 is digitally balanced in base 2 and base 3, because in such bases 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., 9615567481 + 678289936 = 98059^2 + 26044^2 .

It is a cyclic number.

It is not a de Polignac number, because 10293857417 - 224 = 10277080201 is a prime.

It is not a weakly prime, because it can be changed into another prime (10293857317) 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, 5146928708 + 5146928709.

It is an arithmetic number, because the mean of its divisors is an integer number (5146928709).

Almost surely, 210293857417 is an apocalyptic number.

It is an amenable number.

10293857417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10293857417 is an equidigital number, since it uses as much as digits as its factorization.

10293857417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 10293857417 in words is "ten billion, two hundred ninety-three million, eight hundred fifty-seven thousand, four hundred seventeen".