| Base | Representation |
|---|---|
| bin | 11110100101101001110… |
| … | …000000101010111100000 |
| 3 | 21102221122220201101022100 |
| 4 | 132211221300011113200 |
| 5 | 233414410341022240 |
| 6 | 4245352422210400 |
| 7 | 304602563366406 |
| oct | 36455160052740 |
| 9 | 7387586641270 |
| 10 | 2102013220320 |
| 11 | 740505733132 |
| 12 | 29b473b83a00 |
| 13 | 1232b0199730 |
| 14 | 73a4904b476 |
| 15 | 39a28d3be30 |
| hex | 1e969c055e0 |
2102013220320 has 288 divisors, whose sum is σ = 7851540531744. Its totient is φ = 508936089600.
The previous prime is 2102013220301. The next prime is 2102013220367. The reversal of 2102013220320 is 230223102012.
2102013220320 is a `hidden beast` number, since 2 + 1 + 0 + 20 + 1 + 322 + 0 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2102013220293 and 2102013220302.
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 221535 + ... + 2062305.
It is an arithmetic number, because the mean of its divisors is an integer number (27262293513).
Almost surely, 22102013220320 is an apocalyptic number.
2102013220320 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 2102013220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3925770265872).
2102013220320 is an abundant number, since it is smaller than the sum of its proper divisors (5749527311424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102013220320 is a wasteful number, since it uses less digits than its factorization.
2102013220320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1840866 (or 1840855 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 2102013220320 its reverse (230223102012), we get a palindrome (2332236322332).
The spelling of 2102013220320 in words is "two trillion, one hundred two billion, thirteen million, two hundred twenty thousand, three hundred twenty".
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