| Base | Representation |
|---|---|
| bin | 10011010000101000… |
| … | …11110010111010110 |
| 3 | 222200121210010221100 |
| 4 | 21220110132113112 |
| 5 | 132134033213220 |
| 6 | 4430012530530 |
| 7 | 514144450224 |
| oct | 115024362726 |
| 9 | 28617703840 |
| 10 | 10340132310 |
| 11 | 442680a4a2 |
| 12 | 2006a80a46 |
| 13 | c8a2ca0b1 |
| 14 | 7013c1b14 |
| 15 | 407b97d90 |
| hex | 26851e5d6 |
10340132310 has 192 divisors, whose sum is σ = 29665958400. Its totient is φ = 2487158784.
The previous prime is 10340132293. The next prime is 10340132321. The reversal of 10340132310 is 1323104301.
10340132310 is a `hidden beast` number, since 1 + 0 + 340 + 1 + 323 + 1 + 0 = 666.
10340132310 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-3 number, since 3×103401323103 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
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 95 ways as a sum of consecutive naturals, for example, 11129926 + ... + 11130854.
It is an arithmetic number, because the mean of its divisors is an integer number (154510200).
Almost surely, 210340132310 is an apocalyptic number.
10340132310 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 10340132310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832979200).
10340132310 is an abundant number, since it is smaller than the sum of its proper divisors (19325826090).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10340132310 is a wasteful number, since it uses less digits than its factorization.
10340132310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1267 (or 1264 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10340132310 its reverse (1323104301), we get a palindrome (11663236611).
The spelling of 10340132310 in words is "ten billion, three hundred forty million, one hundred thirty-two thousand, three hundred ten".
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