| Base | Representation |
|---|---|
| bin | 1001010111100011010000… |
| … | …0101001010100100010000 |
| 3 | 1100110200122000112220000100 |
| 4 | 2111320310011022210100 |
| 5 | 2322224310032020130 |
| 6 | 33523503215252400 |
| 7 | 2112110455565352 |
| oct | 225706405124420 |
| 9 | 40420560486010 |
| 10 | 10300205345040 |
| 11 | 3311324434066 |
| 12 | 11a42b9b1a100 |
| 13 | 5993c7693270 |
| 14 | 2787656450d2 |
| 15 | 12cdea664c60 |
| hex | 95e3414a910 |
10300205345040 has 240 divisors, whose sum is σ = 37441514558448. Its totient is φ = 2522564481024.
The previous prime is 10300205345033. The next prime is 10300205345047. The reversal of 10300205345040 is 4054350200301.
10300205345040 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 0 + 205 + 3 + 450 + 4 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10300205345033) and next prime (10300205345047).
It can be written as a sum of positive squares in 8 ways, for example, as 207105087744 + 10093100257296 = 455088^2 + 3176964^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a junction number, because it is equal to n+sod(n) for n = 10300205344995 and 10300205345013.
It is not an unprimeable number, because it can be changed into a prime (10300205345047) 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, 949099 + ... + 4636938.
Almost surely, 210300205345040 is an apocalyptic number.
10300205345040 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 10300205345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18720757279224).
10300205345040 is an abundant number, since it is smaller than the sum of its proper divisors (27141309213408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10300205345040 is a wasteful number, since it uses less digits than its factorization.
10300205345040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5586266 (or 5586257 counting only the distinct ones).
The product of its (nonzero) digits is 7200, while the sum is 27.
Adding to 10300205345040 its reverse (4054350200301), we get a palindrome (14354555545341).
The spelling of 10300205345040 in words is "ten trillion, three hundred billion, two hundred five million, three hundred forty-five thousand, forty".
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