Base | Representation |
---|---|
bin | 100110101001… |
… | …101010011010 |
3 | 201001202122210 |
4 | 212221222122 |
5 | 10043211442 |
6 | 1001055550 |
7 | 152056500 |
oct | 46515232 |
9 | 21052583 |
10 | 10132122 |
11 | 57a0460 |
12 | 34875b6 |
13 | 2139a50 |
14 | 14ba670 |
15 | d5219c |
hex | 9a9a9a |
10132122 has 96 divisors (see below), whose sum is σ = 27808704. Its totient is φ = 2419200.
The previous prime is 10132103. The next prime is 10132139. The reversal of 10132122 is 22123101.
10132122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
10132122 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.
10132122 is an undulating number in base 16.
It is a junction number, because it is equal to n+sod(n) for n = 10132098 and 10132107.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41922 + ... + 42162.
It is an arithmetic number, because the mean of its divisors is an integer number (289674).
Almost surely, 210132122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10132122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904352).
10132122 is an abundant number, since it is smaller than the sum of its proper divisors (17676582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132122 is a wasteful number, since it uses less digits than its factorization.
10132122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 284 (or 277 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 10132122 is about 3183.0994329427. The cubic root of 10132122 is about 216.3881481090.
Adding to 10132122 its reverse (22123101), we get a palindrome (32255223).
It can be divided in two parts, 101 and 32122, that added together give a palindrome (32223).
The spelling of 10132122 in words is "ten million, one hundred thirty-two thousand, one hundred twenty-two".
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