Base | Representation |
---|---|
bin | 100110100010… |
… | …100110110100 |
3 | 201000022000100 |
4 | 212202212310 |
5 | 10041300340 |
6 | 1000314100 |
7 | 151606311 |
oct | 46424664 |
9 | 21008010 |
10 | 10103220 |
11 | 5780776 |
12 | 3472930 |
13 | 212984a |
14 | 14add08 |
15 | d48830 |
hex | 9a29b4 |
10103220 has 108 divisors (see below), whose sum is σ = 32265324. Its totient is φ = 2557440.
The previous prime is 10103147. The next prime is 10103221. The reversal of 10103220 is 2230101.
It is a happy number.
It can be written as a sum of positive squares in 6 ways, for example, as 104976 + 9998244 = 324^2 + 3162^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10103221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246400 + ... + 246440.
It is an arithmetic number, because the mean of its divisors is an integer number (298753).
Almost surely, 210103220 is an apocalyptic number.
10103220 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 10103220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16132662).
10103220 is an abundant number, since it is smaller than the sum of its proper divisors (22162104).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10103220 is a wasteful number, since it uses less digits than its factorization.
10103220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 88 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 10103220 is about 3178.5562760474. The cubic root of 10103220 is about 216.1822022310.
Adding to 10103220 its reverse (2230101), we get a palindrome (12333321).
The spelling of 10103220 in words is "ten million, one hundred three thousand, two hundred twenty".
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