Base | Representation |
---|---|
bin | 11011111101011001… |
… | …011010000111110100 |
3 | 2212111012222220011100 |
4 | 123331121122013310 |
5 | 442440400200040 |
6 | 21442544210100 |
7 | 2111644065642 |
oct | 337531320764 |
9 | 85435886140 |
10 | 30021100020 |
11 | 1180614586a |
12 | 599a009930 |
13 | 2aa5872112 |
14 | 164b17c192 |
15 | baa8e5b30 |
hex | 6fd65a1f4 |
30021100020 has 144 divisors (see below), whose sum is σ = 96492444048. Its totient is φ = 7529103360.
The previous prime is 30021100009. The next prime is 30021100027. The reversal of 30021100020 is 2000112003.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 32558436 + 29988541584 = 5706^2 + 173172^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 30021099975 and 30021100011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (30021100027) 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, 5434860 + ... + 5440380.
It is an arithmetic number, because the mean of its divisors is an integer number (670086417).
Almost surely, 230021100020 is an apocalyptic number.
30021100020 is a gapful number since it is divisible by the number (30) 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 30021100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48246222024).
30021100020 is an abundant number, since it is smaller than the sum of its proper divisors (66471344028).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30021100020 is a wasteful number, since it uses less digits than its factorization.
30021100020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7330 (or 7325 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 30021100020 its reverse (2000112003), we get a palindrome (32021212023).
The spelling of 30021100020 in words is "thirty billion, twenty-one million, one hundred thousand, twenty".
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