Base | Representation |
---|---|
bin | 111110100101011… |
… | …1100101011110010 |
3 | 12102100120011121200 |
4 | 1331022330223302 |
5 | 13300101201002 |
6 | 544214432030 |
7 | 103016615061 |
oct | 17512745362 |
9 | 5370504550 |
10 | 2100022002 |
11 | 988453681 |
12 | 4a7362616 |
13 | 2760c7b90 |
14 | 15cc941d8 |
15 | c456db1c |
hex | 7d2bcaf2 |
2100022002 has 48 divisors (see below), whose sum is σ = 5188299480. Its totient is φ = 608150016.
The previous prime is 2100021991. The next prime is 2100022007. The reversal of 2100022002 is 2002200012.
It can be written as a sum of positive squares in 4 ways, for example, as 1017546201 + 1082475801 = 31899^2 + 32901^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (2100022007) by changing a digit.
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, 259977 + ... + 267932.
Almost surely, 22100022002 is an apocalyptic number.
2100022002 is an abundant number, since it is smaller than the sum of its proper divisors (3088277478).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2100022002 is a wasteful number, since it uses less digits than its factorization.
2100022002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 527947 (or 527944 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 9.
The square root of 2100022002 is about 45825.9970104307. The cubic root of 2100022002 is about 1280.5836372422.
Adding to 2100022002 its reverse (2002200012), we get a palindrome (4102222014).
The spelling of 2100022002 in words is "two billion, one hundred million, twenty-two thousand, two".
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