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9678120013 is a prime number
BaseRepresentation
bin10010000001101110…
…00110010001001101
3220222111002102210101
421000313012101031
5124310044320023
64240203411101
7461555443222
oct110067062115
926874072711
109678120013
1141170568a1
121a61223a91
13bb30cb643
1467b4d5949
153b99cb1ad
hex240dc644d

9678120013 has 2 divisors, whose sum is σ = 9678120014. Its totient is φ = 9678120012.

The previous prime is 9678119981. The next prime is 9678120019. The reversal of 9678120013 is 3100218769.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8571426724 + 1106693289 = 92582^2 + 33267^2 .

It is an emirp because it is prime and its reverse (3100218769) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 9678120013 - 25 = 9678119981 is a prime.

It is a super-2 number, since 2×96781200132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9678120019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4839060006 + 4839060007.

It is an arithmetic number, because the mean of its divisors is an integer number (4839060007).

Almost surely, 29678120013 is an apocalyptic number.

It is an amenable number.

9678120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

9678120013 is an equidigital number, since it uses as much as digits as its factorization.

9678120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 9678120013 is about 98377.4365034991. The cubic root of 9678120013 is about 2131.0664950169.

The spelling of 9678120013 in words is "nine billion, six hundred seventy-eight million, one hundred twenty thousand, thirteen".