| Base | Representation |
|---|---|
| bin | 10011000001100000… |
| … | …10101111111010110 |
| 3 | 222100202222100101220 |
| 4 | 21200300111333112 |
| 5 | 131404041022220 |
| 6 | 4405240431210 |
| 7 | 511043640336 |
| oct | 114060257726 |
| 9 | 28322870356 |
| 10 | 10213220310 |
| 11 | 4371107647 |
| 12 | 1b90478506 |
| 13 | c69c23037 |
| 14 | 6cc5c70c6 |
| 15 | 3eb979540 |
| hex | 260c15fd6 |
10213220310 has 64 divisors (see below), whose sum is σ = 25024178880. Its totient is φ = 2666792960.
The previous prime is 10213220267. The next prime is 10213220387. The reversal of 10213220310 is 1302231201.
10213220310 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 2×102132203102 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 10213220310.
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, 822226 + ... + 834554.
It is an arithmetic number, because the mean of its divisors is an integer number (391002795).
Almost surely, 210213220310 is an apocalyptic number.
10213220310 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 10213220310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12512089440).
10213220310 is an abundant number, since it is smaller than the sum of its proper divisors (14810958570).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10213220310 is a wasteful number, since it uses less digits than its factorization.
10213220310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12913.
The product of its (nonzero) digits is 72, while the sum is 15.
Adding to 10213220310 its reverse (1302231201), we get a palindrome (11515451511).
The spelling of 10213220310 in words is "ten billion, two hundred thirteen million, two hundred twenty thousand, three hundred ten".
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