| Base | Representation |
|---|---|
| bin | 1100010101110110010… |
| … | …0110000001011001100 |
| 3 | 202021021021021021102000 |
| 4 | 3011131210300023030 |
| 5 | 11433210432004400 |
| 6 | 241222511232300 |
| 7 | 21214064265654 |
| oct | 3053544601314 |
| 9 | 667237237360 |
| 10 | 212023313100 |
| 11 | 81a116a62a5 |
| 12 | 35112218690 |
| 13 | 16cbc257121 |
| 14 | a394c4b364 |
| 15 | 57adc9c600 |
| hex | 315d9302cc |
212023313100 has 144 divisors (see below), whose sum is σ = 682375075200. Its totient is φ = 56476560960.
The previous prime is 212023313069. The next prime is 212023313101. The reversal of 212023313100 is 1313320212.
212023313100 is a `hidden beast` number, since 2 + 1 + 20 + 2 + 331 + 310 + 0 = 666.
It is a super-2 number, since 2×2120233131002 (a number of 23 digits) contains 22 as substring.
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 (212023313101) 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, 2405611 + ... + 2492189.
It is an arithmetic number, because the mean of its divisors is an integer number (4738715800).
Almost surely, 2212023313100 is an apocalyptic number.
212023313100 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 212023313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341187537600).
212023313100 is an abundant number, since it is smaller than the sum of its proper divisors (470351762100).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212023313100 is a wasteful number, since it uses less digits than its factorization.
212023313100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 87509 (or 87496 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 212023313100 its reverse (1313320212), we get a palindrome (213336633312).
The spelling of 212023313100 in words is "two hundred twelve billion, twenty-three million, three hundred thirteen thousand, one hundred".
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