Base | Representation |
---|---|
bin | 100001011110001111010… |
… | …100111011100010110100 |
3 | 22010220020201221022010200 |
4 | 201132033110323202310 |
5 | 300141313301211040 |
6 | 4520411452520500 |
7 | 325120254344205 |
oct | 41361724734264 |
9 | 8126221838120 |
10 | 2300212132020 |
11 | 807572867000 |
12 | 311968480130 |
13 | 138ba830738a |
14 | 7d48bc515ac |
15 | 3ec790e0630 |
hex | 2178f53b8b4 |
2300212132020 has 576 divisors, whose sum is σ = 8051095084032. Its totient is φ = 530916249600.
The previous prime is 2300212131991. The next prime is 2300212132061. The reversal of 2300212132020 is 202312120032.
2300212132020 is a `hidden beast` number, since 2 + 300 + 2 + 1 + 21 + 320 + 20 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2300212131984 and 2300212132002.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 416626860 + ... + 416632380.
It is an arithmetic number, because the mean of its divisors is an integer number (13977595632).
Almost surely, 22300212132020 is an apocalyptic number.
2300212132020 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 2300212132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025547542016).
2300212132020 is an abundant number, since it is smaller than the sum of its proper divisors (5750882952012).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2300212132020 is a wasteful number, since it uses less digits than its factorization.
2300212132020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5653 (or 5626 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2300212132020 its reverse (202312120032), we get a palindrome (2502524252052).
The spelling of 2300212132020 in words is "two trillion, three hundred billion, two hundred twelve million, one hundred thirty-two thousand, twenty".
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