| Base | Representation |
|---|---|
| bin | 1100011001100010010… |
| … | …1010101000110111000 |
| 3 | 202100211021010211201200 |
| 4 | 3012120211111012320 |
| 5 | 11442222402220440 |
| 6 | 241505034414200 |
| 7 | 21250445226546 |
| oct | 3063045250670 |
| 9 | 670737124650 |
| 10 | 213013320120 |
| 11 | 8237a514217 |
| 12 | 35349891360 |
| 13 | 171193a59b3 |
| 14 | a44a516d96 |
| 15 | 581ab57c30 |
| hex | 31989551b8 |
213013320120 has 192 divisors, whose sum is σ = 713546720640. Its totient is φ = 55070668800.
The previous prime is 213013320119. The next prime is 213013320127. The reversal of 213013320120 is 21023310312.
213013320120 is a `hidden beast` number, since 21 + 301 + 3 + 320 + 1 + 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 = 213013320093 and 213013320102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213013320127) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3714465 + ... + 3771375.
It is an arithmetic number, because the mean of its divisors is an integer number (3716389170).
Almost surely, 2213013320120 is an apocalyptic number.
213013320120 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 213013320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356773360320).
213013320120 is an abundant number, since it is smaller than the sum of its proper divisors (500533400520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213013320120 is a wasteful number, since it uses less digits than its factorization.
213013320120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 57246 (or 57239 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 213013320120 its reverse (21023310312), we get a palindrome (234036630432).
The spelling of 213013320120 in words is "two hundred thirteen billion, thirteen million, three hundred twenty thousand, one hundred twenty".
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