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10332123169 is a prime number
BaseRepresentation
bin10011001111101011…
…11011000000100001
3222200001201020110111
421213311323000201
5132130010420134
64425125131321
7514016412034
oct114765730041
928601636414
1010332123169
11442223a075
122004259b41
13c88754764
147002d901b
15407114c64
hex267d7b021

10332123169 has 2 divisors, whose sum is σ = 10332123170. Its totient is φ = 10332123168.

The previous prime is 10332123163. The next prime is 10332123187. The reversal of 10332123169 is 96132123301.

10332123169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7650126225 + 2681996944 = 87465^2 + 51788^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332123169 - 213 = 10332114977 is a prime.

It is a super-2 number, since 2×103321231692 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10332123169.

It is not a weakly prime, because it can be changed into another prime (10332123163) 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, 5166061584 + 5166061585.

It is an arithmetic number, because the mean of its divisors is an integer number (5166061585).

Almost surely, 210332123169 is an apocalyptic number.

It is an amenable number.

10332123169 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332123169 is an equidigital number, since it uses as much as digits as its factorization.

10332123169 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 31.

The spelling of 10332123169 in words is "ten billion, three hundred thirty-two million, one hundred twenty-three thousand, one hundred sixty-nine".