Base | Representation |
---|---|
bin | 11110110110011011110… |
… | …100001010100110100000 |
3 | 21111200011202011001211100 |
4 | 132312123310022212200 |
5 | 234213311423122240 |
6 | 4301532453114400 |
7 | 306111252225435 |
oct | 36663364124640 |
9 | 7450152131740 |
10 | 2120033020320 |
11 | 748112409626 |
12 | 2a2a62928a00 |
13 | 124bc2540397 |
14 | 7487834db8c |
15 | 3a230d06e30 |
hex | 1ed9bd0a9a0 |
2120033020320 has 288 divisors, whose sum is σ = 7617112776000. Its totient is φ = 535465562112.
The previous prime is 2120033020319. The next prime is 2120033020349. The reversal of 2120033020320 is 230203300212.
It is a happy number.
2120033020320 is a `hidden beast` number, since 2 + 12 + 0 + 0 + 330 + 2 + 0 + 320 = 666.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-3 number, since 3×21200330203203 (a number of 38 digits) contains 333 as substring.
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 = 2120033020293 and 2120033020302.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234279156 + ... + 234288204.
It is an arithmetic number, because the mean of its divisors is an integer number (26448308250).
Almost surely, 22120033020320 is an apocalyptic number.
2120033020320 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 2120033020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3808556388000).
2120033020320 is an abundant number, since it is smaller than the sum of its proper divisors (5497079755680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2120033020320 is a wasteful number, since it uses less digits than its factorization.
2120033020320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17652 (or 17641 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
Adding to 2120033020320 its reverse (230203300212), we get a palindrome (2350236320532).
It can be divided in two parts, 212003 and 3020320, that added together give a palindrome (3232323).
The spelling of 2120033020320 in words is "two trillion, one hundred twenty billion, thirty-three million, twenty thousand, three hundred twenty".
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