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10117121579 is a prime number
BaseRepresentation
bin10010110110000011…
…10000011000101011
3222010002011000201122
421123001300120223
5131204440342304
64351525005455
7505466054165
oct113301603053
928102130648
1010117121579
114321940204
121b6425388b
13c53047196
146bd92d935
153e32e59be
hex25b07062b

10117121579 has 2 divisors, whose sum is σ = 10117121580. Its totient is φ = 10117121578.

The previous prime is 10117121557. The next prime is 10117121639. The reversal of 10117121579 is 97512171101.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10117121579 is a prime.

It is a super-2 number, since 2×101171215792 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10117121479) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058560789 + 5058560790.

It is an arithmetic number, because the mean of its divisors is an integer number (5058560790).

Almost surely, 210117121579 is an apocalyptic number.

10117121579 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117121579 is an equidigital number, since it uses as much as digits as its factorization.

10117121579 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 35.

The spelling of 10117121579 in words is "ten billion, one hundred seventeen million, one hundred twenty-one thousand, five hundred seventy-nine".