| Base | Representation |
|---|---|
| bin | 110000011011100110100000… |
| … | …110100011010000010000000 |
| 3 | 1000221011220000002020120002100 |
| 4 | 300123212200310122002000 |
| 5 | 210404320131332000300 |
| 6 | 2033004122114350400 |
| 7 | 62602650120022251 |
| oct | 6033464064320200 |
| 9 | 1027156002216070 |
| 10 | 213003011203200 |
| 11 | 61962084935629 |
| 12 | 1ba814b158b400 |
| 13 | 91b1136a51c2a |
| 14 | 3a8558792ab28 |
| 15 | 1995a6cc7e700 |
| hex | c1b9a0d1a080 |
213003011203200 has 1152 divisors, whose sum is σ = 806736490560000. Its totient is φ = 53417690726400.
The previous prime is 213003011203189. The next prime is 213003011203207. The reversal of 213003011203200 is 2302110300312.
213003011203200 is a `hidden beast` number, since 2 + 1 + 30 + 0 + 301 + 12 + 0 + 320 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (1152).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (213003011203207) 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 143 ways as a sum of consecutive naturals, for example, 22566264081 + ... + 22566273519.
It is an arithmetic number, because the mean of its divisors is an integer number (700292092500).
Almost surely, 2213003011203200 is an apocalyptic number.
213003011203200 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 213003011203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403368245280000).
213003011203200 is an abundant number, since it is smaller than the sum of its proper divisors (593733479356800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213003011203200 is a wasteful number, since it uses less digits than its factorization.
213003011203200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10198 (or 10178 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 213003011203200 its reverse (2302110300312), we get a palindrome (215305121503512).
The spelling of 213003011203200 in words is "two hundred thirteen trillion, three billion, eleven million, two hundred three thousand, two hundred".
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