Base | Representation |
---|---|
bin | 101000001001… |
… | …000111101000 |
3 | 201210121222220 |
4 | 220021013220 |
5 | 10143214422 |
6 | 1013314040 |
7 | 155305425 |
oct | 50110750 |
9 | 21717886 |
10 | 10523112 |
11 | 5a38196 |
12 | 3635920 |
13 | 22459c2 |
14 | 157cd4c |
15 | dcce5c |
hex | a091e8 |
10523112 has 64 divisors (see below), whose sum is σ = 28339200. Its totient is φ = 3245760.
The previous prime is 10523111. The next prime is 10523113. The reversal of 10523112 is 21132501.
It is an interprime number because it is at equal distance from previous prime (10523111) and next prime (10523113).
It is a super-2 number, since 2×105231122 = 221471772329088, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 10523091 and 10523100.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10523111) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21187 + ... + 21677.
It is an arithmetic number, because the mean of its divisors is an integer number (442800).
Almost surely, 210523112 is an apocalyptic number.
10523112 is a gapful number since it is divisible by the number (12) 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 10523112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14169600).
10523112 is an abundant number, since it is smaller than the sum of its proper divisors (17816088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10523112 is a wasteful number, since it uses less digits than its factorization.
10523112 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 566 (or 562 counting only the distinct ones).
The product of its (nonzero) digits is 60, while the sum is 15.
The square root of 10523112 is about 3243.9346479237. The cubic root of 10523112 is about 219.1365050434.
Adding to 10523112 its reverse (21132501), we get a palindrome (31655613).
The spelling of 10523112 in words is "ten million, five hundred twenty-three thousand, one hundred twelve".
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