| Base | Representation |
|---|---|
| bin | 10011001011111101… |
| … | …11011000000101000 |
| 3 | 222120220000100210100 |
| 4 | 21211332323000220 |
| 5 | 132044014144130 |
| 6 | 4422052345400 |
| 7 | 513160305114 |
| oct | 114576730050 |
| 9 | 28526010710 |
| 10 | 10300928040 |
| 11 | 4406672777 |
| 12 | 1bb5915260 |
| 13 | c821517c0 |
| 14 | 6da0d8744 |
| 15 | 404501c60 |
| hex | 265fbb028 |
10300928040 has 192 divisors, whose sum is σ = 36206810640. Its totient is φ = 2524815360.
The previous prime is 10300928039. The next prime is 10300928041. The reversal of 10300928040 is 4082900301.
10300928040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (10300928039) and next prime (10300928041).
It can be written as a sum of positive squares in 8 ways, for example, as 5420787876 + 4880140164 = 73626^2 + 69858^2 .
It is a super-2 number, since 2×103009280402 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10300927995 and 10300928013.
It is not an unprimeable number, because it can be changed into a prime (10300928041) 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 47 ways as a sum of consecutive naturals, for example, 1123314 + ... + 1132446.
Almost surely, 210300928040 is an apocalyptic number.
10300928040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10300928040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103405320).
10300928040 is an abundant number, since it is smaller than the sum of its proper divisors (25905882600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10300928040 is a wasteful number, since it uses less digits than its factorization.
10300928040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9404 (or 9397 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 27.
The spelling of 10300928040 in words is "ten billion, three hundred million, nine hundred twenty-eight thousand, forty".
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