| Base | Representation |
|---|---|
| bin | 11010011101010100000… |
| … | …10100110101110100010 |
| 3 | 10012220112002221010002000 |
| 4 | 31032222002212232202 |
| 5 | 104343304233042330 |
| 6 | 1533344113104430 |
| 7 | 122452056141450 |
| oct | 15165202465642 |
| 9 | 3186462833060 |
| 10 | 909090909090 |
| 11 | 3205a8133401 |
| 12 | 128230858116 |
| 13 | 6795b019060 |
| 14 | 320009039d0 |
| 15 | 189aa6b4560 |
| hex | d3aa0a6ba2 |
909090909090 has 512 divisors, whose sum is σ = 3094975457280. Its totient is φ = 184757760000.
The previous prime is 909090909071. The next prime is 909090909113. The reversal of 909090909090 is 90909090909.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is an alternating number because its digits alternate between odd and even.
909090909090 is an undulating number in base 10.
909090909090 is a modest number, since divided by 90909090 gives 9090 as remainder.
It is an unprimeable number.
It is a Kaprekar number, because its square (826446280990082644628100) can be partitioned into two parts whose sum is 909090909090.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 91813140 + ... + 91823040.
It is an arithmetic number, because the mean of its divisors is an integer number (6044873940).
Almost surely, 2909090909090 is an apocalyptic number.
909090909090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 909090909090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547487728640).
909090909090 is an abundant number, since it is smaller than the sum of its proper divisors (2185884548190).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
909090909090 is a wasteful number, since it uses less digits than its factorization.
909090909090 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10075 (or 10069 counting only the distinct ones).
The product of its (nonzero) digits is 531441, while the sum is 54.
Adding to 909090909090 its reverse (90909090909), we get a palindrome (999999999999).
The spelling of 909090909090 in words is "nine hundred nine billion, ninety million, nine hundred nine thousand, ninety".
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