| Base | Representation |
|---|---|
| bin | 10100011111010101… |
| … | …10100001100010110 |
| 3 | 1001101122000011012000 |
| 4 | 22033222310030112 |
| 5 | 140012034102220 |
| 6 | 5015314340130 |
| 7 | 536412003246 |
| oct | 121752641426 |
| 9 | 31348004160 |
| 10 | 11000300310 |
| 11 | 473542348a |
| 12 | 216bb8a646 |
| 13 | 106400124c |
| 14 | 764d4bb26 |
| 15 | 445aed390 |
| hex | 28fab4316 |
11000300310 has 64 divisors (see below), whose sum is σ = 29393280000. Its totient is φ = 2927498976.
The previous prime is 11000300293. The next prime is 11000300393. The reversal of 11000300310 is 1300300011.
11000300310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×110003003102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 11000300292 and 11000300301.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 93907 + ... + 175553.
It is an arithmetic number, because the mean of its divisors is an integer number (459270000).
Almost surely, 211000300310 is an apocalyptic number.
11000300310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 11000300310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640000).
11000300310 is an abundant number, since it is smaller than the sum of its proper divisors (18392979690).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
11000300310 is a wasteful number, since it uses less digits than its factorization.
11000300310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 82162 (or 82156 counting only the distinct ones).
The product of its (nonzero) digits is 9, while the sum is 9.
Adding to 11000300310 its reverse (1300300011), we get a palindrome (12300600321).
The spelling of 11000300310 in words is "eleven billion, three hundred thousand, three hundred ten".
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