Base | Representation |
---|---|
bin | 11101011011001111110… |
… | …000000110011101011010 |
3 | 21011022110000202111010100 |
4 | 131123033300012131122 |
5 | 231112300222402302 |
6 | 4144541004000230 |
7 | 266044010304165 |
oct | 35331760063532 |
9 | 7138400674110 |
10 | 2022120122202 |
11 | 70a638102014 |
12 | 287a97b30076 |
13 | 1188ba253a8b |
14 | 6dc2a57cadc |
15 | 378eee37d1c |
hex | 1d6cfc0675a |
2022120122202 has 48 divisors (see below), whose sum is σ = 4385945570760. Its totient is φ = 673319523456.
The previous prime is 2022120122201. The next prime is 2022120122203. The reversal of 2022120122202 is 2022210212202.
2022120122202 is a `hidden beast` number, since 20 + 221 + 201 + 2 + 220 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (2022120122201) and next prime (2022120122203).
It can be written as a sum of positive squares in 4 ways, for example, as 1949014237041 + 73105885161 = 1396071^2 + 270381^2 .
It is a super-2 number, since 2×20221201222022 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (2022120122201) 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 23 ways as a sum of consecutive naturals, for example, 107156824 + ... + 107175692.
Almost surely, 22022120122202 is an apocalyptic number.
2022120122202 is an abundant number, since it is smaller than the sum of its proper divisors (2363825448558).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022120122202 is a wasteful number, since it uses less digits than its factorization.
2022120122202 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 24927 (or 24924 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 2022120122202 its reverse (2022210212202), we get a palindrome (4044330334404).
The spelling of 2022120122202 in words is "two trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred two".
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