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10000013332117 is a prime number
BaseRepresentation
bin1001000110000100111100…
…1111100000111010010101
31022101222210010022121001111
42101201033033200322111
52302320011403111432
633133535342455021
72051322436562404
oct221411717407225
938358703277044
1010000013332117
113205a8890a6a6
1211560a0294471
13576cc6b45953
14268008bdd63b
151251cb1c8347
hex9184f3e0e95

10000013332117 has 2 divisors, whose sum is σ = 10000013332118. Its totient is φ = 10000013332116.

The previous prime is 10000013332081. The next prime is 10000013332157. The reversal of 10000013332117 is 71123331000001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5932103519281 + 4067909812836 = 2435591^2 + 2016906^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10000013332117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10000013332157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000006666058 + 5000006666059.

It is an arithmetic number, because the mean of its divisors is an integer number (5000006666059).

Almost surely, 210000013332117 is an apocalyptic number.

It is an amenable number.

10000013332117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10000013332117 is an equidigital number, since it uses as much as digits as its factorization.

10000013332117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 22.

Adding to 10000013332117 its reverse (71123331000001), we get a palindrome (81123344332118).

The spelling of 10000013332117 in words is "ten trillion, thirteen million, three hundred thirty-two thousand, one hundred seventeen".