Base | Representation |
---|---|
bin | 11001000010111… |
… | …10111100100100 |
3 | 112122100101122100 |
4 | 30201132330210 |
5 | 412241312400 |
6 | 32503132100 |
7 | 5130566253 |
oct | 1441367444 |
9 | 478311570 |
10 | 210104100 |
11 | a8664358 |
12 | 5a444030 |
13 | 346b436b |
14 | 1dc9279a |
15 | 136a3100 |
hex | c85ef24 |
210104100 has 108 divisors (see below), whose sum is σ = 672706944. Its totient is φ = 54824640.
The previous prime is 210104077. The next prime is 210104117. The reversal of 210104100 is 1401012.
It is a happy number.
210104100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39817 + ... + 44783.
It is an arithmetic number, because the mean of its divisors is an integer number (6228768).
Almost surely, 2210104100 is an apocalyptic number.
210104100 is a gapful number since it is divisible by the number (20) 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 210104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336353472).
210104100 is an abundant number, since it is smaller than the sum of its proper divisors (462602844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
210104100 is a wasteful number, since it uses less digits than its factorization.
210104100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5034 (or 5024 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 210104100 is about 14494.9680924106. The cubic root of 210104100 is about 594.4903952859.
Adding to 210104100 its reverse (1401012), we get a palindrome (211505112).
The spelling of 210104100 in words is "two hundred ten million, one hundred four thousand, one hundred".
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