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10110020009 is a prime number
BaseRepresentation
bin10010110101001101…
…01010100110101001
3222002120210020012112
421122212222212221
5131201131120014
64351112452105
7505351515665
oct113246524651
928076706175
1010110020009
11431892a741
121b619aa035
13c5172b97b
146bca018a5
153e289173e
hex25a9aa9a9

10110020009 has 2 divisors, whose sum is σ = 10110020010. Its totient is φ = 10110020008.

The previous prime is 10110019979. The next prime is 10110020051. The reversal of 10110020009 is 90002001101.

10110020009 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., 10105878784 + 4141225 = 100528^2 + 2035^2 .

It is a cyclic number.

It is not a de Polignac number, because 10110020009 - 212 = 10110015913 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10110019975 and 10110020002.

It is not a weakly prime, because it can be changed into another prime (10110020209) 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, 5055010004 + 5055010005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055010005).

Almost surely, 210110020009 is an apocalyptic number.

It is an amenable number.

10110020009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110020009 is an equidigital number, since it uses as much as digits as its factorization.

10110020009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 10110020009 in words is "ten billion, one hundred ten million, twenty thousand, nine".