Base | Representation |
---|---|
bin | 1100010100010… |
… | …11100100011000 |
3 | 21012102211000120 |
4 | 12022023210120 |
5 | 202423111440 |
6 | 14130433240 |
7 | 2363210553 |
oct | 612134430 |
9 | 235384016 |
10 | 103332120 |
11 | 53367a51 |
12 | 2a732820 |
13 | 1853c388 |
14 | da1b69a |
15 | 9111dd0 |
hex | 628b918 |
103332120 has 128 divisors (see below), whose sum is σ = 337348800. Its totient is φ = 25233408.
The previous prime is 103332091. The next prime is 103332121. The reversal of 103332120 is 21233301.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 103332120.
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 629 × 555 × 296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (103332121) 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 31 ways as a sum of consecutive naturals, for example, 2792742 + ... + 2792778.
Almost surely, 2103332120 is an apocalyptic number.
103332120 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 103332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168674400).
103332120 is an abundant number, since it is smaller than the sum of its proper divisors (234016680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103332120 is an equidigital number, since it uses as much as digits as its factorization.
103332120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 142 (or 64 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
The square root of 103332120 is about 10165.2407743250. The cubic root of 103332120 is about 469.2581021985.
Adding to 103332120 its reverse (21233301), we get a palindrome (124565421).
It can be divided in two parts, 1033 and 32120, that added together give a triangular number (33153 = T257).
The spelling of 103332120 in words is "one hundred three million, three hundred thirty-two thousand, one hundred twenty".
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