| Base | Representation |
|---|---|
| bin | 1100010101110001011… |
| … | …1101100110110100000 |
| 3 | 202021012212021002000000 |
| 4 | 3011130113230312200 |
| 5 | 11433140244130100 |
| 6 | 241220510300000 |
| 7 | 21213430511430 |
| oct | 3053427546640 |
| 9 | 667185232000 |
| 10 | 212003114400 |
| 11 | 81a0125a760 |
| 12 | 351074b7600 |
| 13 | 16cb800442c |
| 14 | a3922b02c0 |
| 15 | 57ac10c900 |
| hex | 315c5ecda0 |
212003114400 has 1008 divisors, whose sum is σ = 967652941248. Its totient is φ = 44043264000.
The previous prime is 212003114387. The next prime is 212003114417. The reversal of 212003114400 is 4411300212.
212003114400 is a `hidden beast` number, since 21 + 200 + 3 + 1 + 1 + 440 + 0 = 666.
212003114400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1008).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 167 ways as a sum of consecutive naturals, for example, 44904040 + ... + 44908760.
It is an arithmetic number, because the mean of its divisors is an integer number (959973156).
Almost surely, 2212003114400 is an apocalyptic number.
212003114400 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 212003114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483826470624).
212003114400 is an abundant number, since it is smaller than the sum of its proper divisors (755649826848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212003114400 is a wasteful number, since it uses less digits than its factorization.
212003114400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4777 (or 4749 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 212003114400 its reverse (4411300212), we get a palindrome (216414414612).
The spelling of 212003114400 in words is "two hundred twelve billion, three million, one hundred fourteen thousand, four hundred".
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