| Base | Representation |
|---|---|
| bin | 11101010010110111010… |
| … | …100001100110010100000 |
| 3 | 21010110012210212002201000 |
| 4 | 131102313110030302200 |
| 5 | 230440332234022240 |
| 6 | 4140451544512000 |
| 7 | 265304665352166 |
| oct | 35226724146240 |
| 9 | 7113183762630 |
| 10 | 2013120220320 |
| 11 | 706839978580 |
| 12 | 2861a5a7b600 |
| 13 | 117ab4809351 |
| 14 | 6d615191236 |
| 15 | 37574c7a430 |
| hex | 1d4b750cca0 |
2013120220320 has 384 divisors, whose sum is σ = 7794732072960. Its totient is φ = 481154688000.
The previous prime is 2013120220301. The next prime is 2013120220343. The reversal of 2013120220320 is 230220213102.
2013120220320 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 120 + 220 + 320 = 666.
It is a super-3 number, since 3×20131202203203 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 = 2013120220293 and 2013120220302.
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 63 ways as a sum of consecutive naturals, for example, 3075585 + ... + 3672255.
It is an arithmetic number, because the mean of its divisors is an integer number (20298781440).
Almost surely, 22013120220320 is an apocalyptic number.
2013120220320 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 2013120220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3897366036480).
2013120220320 is an abundant number, since it is smaller than the sum of its proper divisors (5781611852640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2013120220320 is a wasteful number, since it uses less digits than its factorization.
2013120220320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 596777 (or 596763 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2013120220320 its reverse (230220213102), we get a palindrome (2243340433422).
The spelling of 2013120220320 in words is "two trillion, thirteen billion, one hundred twenty million, two hundred twenty thousand, three hundred twenty".
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