| Base | Representation |
|---|---|
| bin | 1100011001100001110… |
| … | …1110100100111000000 |
| 3 | 202100211010102211222100 |
| 4 | 3012120131310213000 |
| 5 | 11442221401231000 |
| 6 | 241504524310400 |
| 7 | 21250422421566 |
| oct | 3063035644700 |
| 9 | 670733384870 |
| 10 | 213011352000 |
| 11 | 8237939a577 |
| 12 | 353490a2400 |
| 13 | 17118b66c25 |
| 14 | a44a163a36 |
| 15 | 581a8b9a00 |
| hex | 31987749c0 |
213011352000 has 336 divisors, whose sum is σ = 765392558112. Its totient is φ = 56548454400.
The previous prime is 213011351981. The next prime is 213011352007. The reversal of 213011352000 is 253110312.
213011352000 is a `hidden beast` number, since 2 + 1 + 30 + 113 + 520 + 0 + 0 = 666.
213011352000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×2130113520003 (a number of 35 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (213011352007) 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, 16337484 + ... + 16350516.
It is an arithmetic number, because the mean of its divisors is an integer number (2277954042).
Almost surely, 2213011352000 is an apocalyptic number.
213011352000 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 213011352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382696279056).
213011352000 is an abundant number, since it is smaller than the sum of its proper divisors (552381206112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
213011352000 is a wasteful number, since it uses less digits than its factorization.
213011352000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13293 (or 13270 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
Adding to 213011352000 its reverse (253110312), we get a palindrome (213264462312).
The spelling of 213011352000 in words is "two hundred thirteen billion, eleven million, three hundred fifty-two thousand".
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