Base | Representation |
---|---|
bin | 1001100011110000110011… |
… | …01100101110000011110100 |
3 | 2202102111022000111002100000 |
4 | 10301320121230232003310 |
5 | 10223342430240200040 |
6 | 112412242153351300 |
7 | 4266434136225606 |
oct | 461703154560364 |
9 | 82374260432300 |
10 | 21020001100020 |
11 | 67745946a345a |
12 | 2435997a08530 |
13 | b96240250ab0 |
14 | 529532b95176 |
15 | 266ba24d4130 |
hex | 131e19b2e0f4 |
21020001100020 has 576 divisors, whose sum is σ = 72988439247360. Its totient is φ = 5045995948032.
The previous prime is 21020001100013. The next prime is 21020001100027. The reversal of 21020001100020 is 2000110002012.
It is an interprime number because it is at equal distance from previous prime (21020001100013) and next prime (21020001100027).
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 = 21020001099975 and 21020001100011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21020001100027) by changing a digit.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 559187386 + ... + 559224974.
It is an arithmetic number, because the mean of its divisors is an integer number (126716040360).
Almost surely, 221020001100020 is an apocalyptic number.
21020001100020 is a gapful number since it is divisible by the number (20) 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 21020001100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36494219623680).
21020001100020 is an abundant number, since it is smaller than the sum of its proper divisors (51968438147340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21020001100020 is a wasteful number, since it uses less digits than its factorization.
21020001100020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37846 (or 37832 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 21020001100020 its reverse (2000110002012), we get a palindrome (23020111102032).
The spelling of 21020001100020 in words is "twenty-one trillion, twenty billion, one million, one hundred thousand, twenty".
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