Base | Representation |
---|---|
bin | 11101011011001111001… |
… | …001100001101010010000 |
3 | 21011022102022201201210100 |
4 | 131123033021201222100 |
5 | 231112240130310000 |
6 | 4144540003132400 |
7 | 266043525326433 |
oct | 35331711415220 |
9 | 7138368651710 |
10 | 2022110010000 |
11 | 70a632425623 |
12 | 287a94674100 |
13 | 1188b8123122 |
14 | 6dc290a981a |
15 | 378ee0dba00 |
hex | 1d6cf261a90 |
2022110010000 has 150 divisors (see below), whose sum is σ = 7071611102270. Its totient is φ = 539229312000.
The previous prime is 2022110009917. The next prime is 2022110010023. The reversal of 2022110010000 is 100112202.
It can be written as a sum of positive squares in 5 ways, for example, as 162454139136 + 1859655870864 = 403056^2 + 1363692^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is an unprimeable number.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11143945 + ... + 11323944.
Almost surely, 22022110010000 is an apocalyptic number.
2022110010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2022110010000 is an abundant number, since it is smaller than the sum of its proper divisors (5049501092270).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022110010000 is a wasteful number, since it uses less digits than its factorization.
2022110010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 22467923 (or 22467899 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 2022110010000 its reverse (100112202), we get a palindrome (2022210122202).
The spelling of 2022110010000 in words is "two trillion, twenty-two billion, one hundred ten million, ten thousand".
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