Base | Representation |
---|---|
bin | 11110111000010010001… |
… | …111111001000101100000 |
3 | 21111212022020000002122220 |
4 | 132320102033321011200 |
5 | 234231344110000341 |
6 | 4302501553031040 |
7 | 306211430251413 |
oct | 36702217710540 |
9 | 7455266002586 |
10 | 2122020000096 |
11 | 748a41a72977 |
12 | 2a3318255480 |
13 | 12514b0a9269 |
14 | 749c61b9b7a |
15 | 3a2ea496a66 |
hex | 1ee123f9160 |
2122020000096 has 96 divisors (see below), whose sum is σ = 5900744723328. Its totient is φ = 665418270720.
The previous prime is 2122020000091. The next prime is 2122020000103. The reversal of 2122020000096 is 6900000202212.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2122020000091) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3172711 + ... + 3782873.
It is an arithmetic number, because the mean of its divisors is an integer number (61466090868).
Almost surely, 22122020000096 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2122020000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950372361664).
2122020000096 is an abundant number, since it is smaller than the sum of its proper divisors (3778724723232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122020000096 is a wasteful number, since it uses less digits than its factorization.
2122020000096 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 612324 (or 612316 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 24.
The spelling of 2122020000096 in words is "two trillion, one hundred twenty-two billion, twenty million, ninety-six", and thus it is an aban number.
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