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10584240971 is a prime number
BaseRepresentation
bin10011101101101111…
…01011001101001011
31000022122010011001212
421312313223031023
5133134031202341
64510133003335
7523200364253
oct116667531513
930278104055
1010584240971
114541589997
12207478354b
13cc8a590a5
147259a6963
1541e3165eb
hex276deb34b

10584240971 has 2 divisors, whose sum is σ = 10584240972. Its totient is φ = 10584240970.

The previous prime is 10584240959. The next prime is 10584241027. The reversal of 10584240971 is 17904248501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10584240971 is a prime.

It is a super-2 number, since 2×105842409712 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10584240941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5292120485 + 5292120486.

It is an arithmetic number, because the mean of its divisors is an integer number (5292120486).

Almost surely, 210584240971 is an apocalyptic number.

10584240971 is a deficient number, since it is larger than the sum of its proper divisors (1).

10584240971 is an equidigital number, since it uses as much as digits as its factorization.

10584240971 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 10584240971 in words is "ten billion, five hundred eighty-four million, two hundred forty thousand, nine hundred seventy-one".