Base | Representation |
---|---|
bin | 111110100110001… |
… | …1110101100000000 |
3 | 12102101022120021011 |
4 | 1331030132230000 |
5 | 13300202022144 |
6 | 544231210304 |
7 | 103023206311 |
oct | 17514365400 |
9 | 5371276234 |
10 | 2100423424 |
11 | 9886a8230 |
12 | 4a7516994 |
13 | 2762087c8 |
14 | 15cd5a608 |
15 | c45eca34 |
hex | 7d31eb00 |
2100423424 has 72 divisors (see below), whose sum is σ = 4588918992. Its totient is φ = 951582720.
The previous prime is 2100423421. The next prime is 2100423433. The reversal of 2100423424 is 4243240012.
It is a happy number.
It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 2100423395 and 2100423404.
It is not an unprimeable number, because it can be changed into a prime (2100423421) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992992 + ... + 995104.
It is an arithmetic number, because the mean of its divisors is an integer number (63734986).
Almost surely, 22100423424 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2100423424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2294459496).
2100423424 is an abundant number, since it is smaller than the sum of its proper divisors (2488495568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100423424 is a wasteful number, since it uses less digits than its factorization.
2100423424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2493 (or 2479 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 22.
The square root of 2100423424 is about 45830.3766512997. The cubic root of 2100423424 is about 1280.6652271324.
Adding to 2100423424 its reverse (4243240012), we get a palindrome (6343663436).
It can be divided in two parts, 2100 and 423424, that added together give a palindrome (425524).
The spelling of 2100423424 in words is "two billion, one hundred million, four hundred twenty-three thousand, four hundred twenty-four".
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