| Base | Representation |
|---|---|
| bin | 1100010010110100011… |
| … | …0001101011011111000 |
| 3 | 202012011120212200202001 |
| 4 | 3010231012031123320 |
| 5 | 11430024230000440 |
| 6 | 241010055150344 |
| 7 | 21154660244050 |
| oct | 3045506153370 |
| 9 | 665146780661 |
| 10 | 211210000120 |
| 11 | 816345a2209 |
| 12 | 34b259753b4 |
| 13 | 16bbc8c2742 |
| 14 | a318c18560 |
| 15 | 5762695b9a |
| hex | 312d18d6f8 |
211210000120 has 64 divisors (see below), whose sum is σ = 548488843200. Its totient is φ = 71697868800.
The previous prime is 211210000117. The next prime is 211210000123. The reversal of 211210000120 is 21000012112.
211210000120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (211210000117) and next prime (211210000123).
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 211210000097 and 211210000106.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (211210000123) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 3705985 + ... + 3762544.
It is an arithmetic number, because the mean of its divisors is an integer number (8570138175).
Almost surely, 2211210000120 is an apocalyptic number.
211210000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
211210000120 is an abundant number, since it is smaller than the sum of its proper divisors (337278843080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
211210000120 is a wasteful number, since it uses less digits than its factorization.
211210000120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7468648 (or 7468644 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 211210000120 its reverse (21000012112), we get a palindrome (232210012232).
The spelling of 211210000120 in words is "two hundred eleven billion, two hundred ten million, one hundred twenty", and thus it is an aban number.
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