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10029412909 is a prime number
BaseRepresentation
bin10010101011100110…
…01011001000101101
3221212222002222001101
421111303023020231
5131020012203114
64335113043101
7503352413605
oct112563131055
927788088041
1010029412909
1142873843aa
121b3a9b6491
13c3ab18169
146b201bc05
153da76cd74
hex255ccb22d

10029412909 has 2 divisors, whose sum is σ = 10029412910. Its totient is φ = 10029412908.

The previous prime is 10029412879. The next prime is 10029412931. The reversal of 10029412909 is 90921492001.

10029412909 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9407060100 + 622352809 = 96990^2 + 24947^2 .

It is an emirp because it is prime and its reverse (90921492001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10029412909 - 211 = 10029410861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10029112909) 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, 5014706454 + 5014706455.

It is an arithmetic number, because the mean of its divisors is an integer number (5014706455).

Almost surely, 210029412909 is an apocalyptic number.

It is an amenable number.

10029412909 is a deficient number, since it is larger than the sum of its proper divisors (1).

10029412909 is an equidigital number, since it uses as much as digits as its factorization.

10029412909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 10029412909 in words is "ten billion, twenty-nine million, four hundred twelve thousand, nine hundred nine".