Base | Representation |
---|---|
bin | 111110100101011… |
… | …0111110110100100 |
3 | 12102100112011110201 |
4 | 1331022313312210 |
5 | 13300100032322 |
6 | 544214200244 |
7 | 103016503300 |
oct | 17512676644 |
9 | 5370464421 |
10 | 2100002212 |
11 | 98843a820 |
12 | 4a7353084 |
13 | 2760bbb79 |
14 | 15cc8ad00 |
15 | c4567d27 |
hex | 7d2b7da4 |
2100002212 has 72 divisors (see below), whose sum is σ = 4866523200. Its totient is φ = 782591040.
The previous prime is 2100002153. The next prime is 2100002243. The reversal of 2100002212 is 2122000012.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28414 + ... + 70762.
It is an arithmetic number, because the mean of its divisors is an integer number (67590600).
Almost surely, 22100002212 is an apocalyptic number.
2100002212 is a gapful number since it is divisible by the number (22) 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 2100002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433261600).
2100002212 is an abundant number, since it is smaller than the sum of its proper divisors (2766520988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100002212 is a wasteful number, since it uses less digits than its factorization.
2100002212 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42401 (or 42392 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2100002212 is about 45825.7810844507. The cubic root of 2100002212 is about 1280.5796146129.
Adding to 2100002212 its reverse (2122000012), we get a palindrome (4222002224).
It can be divided in two parts, 210000 and 2212, that added together give a palindrome (212212).
The spelling of 2100002212 in words is "two billion, one hundred million, two thousand, two hundred twelve".
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