| Base | Representation |
|---|---|
| bin | 111011101111000… |
| … | …101110000100100 |
| 3 | 2120211211001002020 |
| 4 | 323233011300210 |
| 5 | 4023030400400 |
| 6 | 243240343140 |
| 7 | 33556363116 |
| oct | 7357056044 |
| 9 | 2524731066 |
| 10 | 1002200100 |
| 11 | 474796850 |
| 12 | 23b774ab0 |
| 13 | 12c82a715 |
| 14 | 971613b6 |
| 15 | 5ceb82a0 |
| hex | 3bbc5c24 |
1002200100 has 144 divisors (see below), whose sum is σ = 3202295040. Its totient is φ = 239964800.
The previous prime is 1002200071. The next prime is 1002200107. The reversal of 1002200100 is 10022001.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is not an unprimeable number, because it can be changed into a prime (1002200107) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 272071 + ... + 275729.
It is an arithmetic number, because the mean of its divisors is an integer number (22238160).
Almost surely, 21002200100 is an apocalyptic number.
1002200100 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 1002200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601147520).
1002200100 is an abundant number, since it is smaller than the sum of its proper divisors (2200094940).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002200100 is a wasteful number, since it uses less digits than its factorization.
1002200100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3770 (or 3763 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 6.
The square root of 1002200100 is about 31657.5441245843. The cubic root of 1002200100 is about 1000.7328294964.
Adding to 1002200100 its reverse (10022001), we get a palindrome (1012222101).
1002200100 divided by its reverse (10022001) gives a square (100 = 102).
It can be divided in two parts, 1002 and 200100, that added together give a palindrome (201102).
The spelling of 1002200100 in words is "one billion, two million, two hundred thousand, one hundred".
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