Base | Representation |
---|---|
bin | 11101011011001111010… |
… | …101011101110100100000 |
3 | 21011022102112121202100021 |
4 | 131123033111131310200 |
5 | 231112241430440000 |
6 | 4144540154203224 |
7 | 266043564044002 |
oct | 35331725356440 |
9 | 7138375552307 |
10 | 2022113140000 |
11 | 70a6341731a8 |
12 | 287a95723514 |
13 | 1188b897a9b5 |
14 | 6dc29682372 |
15 | 378ee50911a |
hex | 1d6cf55dd20 |
2022113140000 has 120 divisors (see below), whose sum is σ = 5042851880220. Its totient is φ = 797764608000.
The previous prime is 2022113139947. The next prime is 2022113140001. The reversal of 2022113140000 is 413112202.
It can be written as a sum of positive squares in 10 ways, for example, as 16479370384 + 2005633769616 = 128372^2 + 1416204^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is not an unprimeable number, because it can be changed into a prime (2022113140001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 767496 + ... + 2152504.
Almost surely, 22022113140000 is an apocalyptic number.
2022113140000 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 2022113140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521425940110).
2022113140000 is an abundant number, since it is smaller than the sum of its proper divisors (3020738740220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022113140000 is an equidigital number, since it uses as much as digits as its factorization.
2022113140000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1385112 (or 1385089 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 16.
Adding to 2022113140000 its reverse (413112202), we get a palindrome (2022526252202).
The spelling of 2022113140000 in words is "two trillion, twenty-two billion, one hundred thirteen million, one hundred forty thousand".
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