Base | Representation |
---|---|
bin | 11101011011010101000… |
… | …111101110101000001000 |
3 | 21011022200022021000112121 |
4 | 131123111013232220020 |
5 | 231112441302431440 |
6 | 4144553542421024 |
7 | 266046153051643 |
oct | 35332507565010 |
9 | 7138608230477 |
10 | 2022210202120 |
11 | 70a683a38429 |
12 | 287b02131774 |
13 | 118902b031c4 |
14 | 6dc3850aa5a |
15 | 37907ccd34a |
hex | 1d6d51eea08 |
2022210202120 has 128 divisors (see below), whose sum is σ = 4785976044000. Its totient is φ = 767876014080.
The previous prime is 2022210202057. The next prime is 2022210202139. The reversal of 2022210202120 is 212020122202.
It can be written as a sum of positive squares in 16 ways, for example, as 35841305124 + 1986368896996 = 189318^2 + 1409386^2 .
It is a super-2 number, since 2×20222102021202 (a number of 25 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 2022210202094 and 2022210202103.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249991036 + ... + 249999124.
Almost surely, 22022210202120 is an apocalyptic number.
2022210202120 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 2022210202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392988022000).
2022210202120 is an abundant number, since it is smaller than the sum of its proper divisors (2763765841880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022210202120 is a wasteful number, since it uses less digits than its factorization.
2022210202120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11723 (or 11719 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 2022210202120 its reverse (212020122202), we get a palindrome (2234230324322).
The spelling of 2022210202120 in words is "two trillion, twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twenty".
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