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9909900009 = 323593306457
BaseRepresentation
bin10010011101010110…
…10001001011101001
3221120122020002011200
421032223101023221
5130243413300014
64315203314413
7500401521522
oct111653211351
927518202150
109909900009
114225975609
121b0697ba09
13c1c131b79
146a01cb849
153d0011a09
hex24ead12e9

9909900009 has 12 divisors (see below), whose sum is σ = 14318330676. Its totient is φ = 6604739712.

The previous prime is 9909899971. The next prime is 9909900023. The reversal of 9909900009 is 9000099099.

9909900009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3708810000 + 6201090009 = 60900^2 + 78747^2 .

It is not a de Polignac number, because 9909900009 - 211 = 9909897961 is a prime.

It is a super-2 number, since 2×99099000092 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9909900059) 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 in 11 ways as a sum of consecutive naturals, for example, 120892 + ... + 185565.

It is an arithmetic number, because the mean of its divisors is an integer number (1193194223).

Almost surely, 29909900009 is an apocalyptic number.

It is an amenable number.

9909900009 is a deficient number, since it is larger than the sum of its proper divisors (4408430667).

9909900009 is a wasteful number, since it uses less digits than its factorization.

9909900009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310056 (or 310053 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 45.

The square root of 9909900009 is about 99548.4806965933. The cubic root of 9909900009 is about 2147.9446742770.

The spelling of 9909900009 in words is "nine billion, nine hundred nine million, nine hundred thousand, nine".

Divisors: 1 3 9 3593 10779 32337 306457 919371 2758113 1101100001 3303300003 9909900009