Base | Representation |
---|---|
bin | 11101011011001111110… |
… | …111010000111010001010 |
3 | 21011022110011021212222210 |
4 | 131123033313100322022 |
5 | 231112301213000020 |
6 | 4144541112125550 |
7 | 266044032254640 |
oct | 35331767207212 |
9 | 7138404255883 |
10 | 2022122000010 |
11 | 70a639174922 |
12 | 287a986968b6 |
13 | 1188ba7606c8 |
14 | 6dc2a90b190 |
15 | 379001a93e0 |
hex | 1d6cfdd0e8a |
2022122000010 has 128 divisors (see below), whose sum is σ = 5626759970304. Its totient is φ = 455511859200.
The previous prime is 2022122000009. The next prime is 2022122000033. The reversal of 2022122000010 is 100002212202.
It is a super-3 number, since 3×20221220000103 (a number of 38 digits) contains 333 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2022122000010.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19832160 + ... + 19933860.
It is an arithmetic number, because the mean of its divisors is an integer number (43959062268).
Almost surely, 22022122000010 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2022122000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813379985152).
2022122000010 is an abundant number, since it is smaller than the sum of its proper divisors (3604637970294).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022122000010 is a wasteful number, since it uses less digits than its factorization.
2022122000010 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 103088.
The product of its (nonzero) digits is 32, while the sum is 12.
Adding to 2022122000010 its reverse (100002212202), we get a palindrome (2122124212212).
The spelling of 2022122000010 in words is "two trillion, twenty-two billion, one hundred twenty-two million, ten", and thus it is an aban number.
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