Base | Representation |
---|---|
bin | 110000010000000101111011… |
… | …100011011101101000000100 |
3 | 1000211101021112221220022112102 |
4 | 300100011323203131220010 |
5 | 210303340401134201040 |
6 | 2031200522020211232 |
7 | 62461550651633555 |
oct | 6020057343355004 |
9 | 1024337487808472 |
10 | 212212112022020 |
11 | 61687718972800 |
12 | 1b974166b39b18 |
13 | 91546933c4c66 |
14 | 3a5919a14232c |
15 | 19801cd931515 |
hex | c1017b8dda04 |
212212112022020 has 144 divisors (see below), whose sum is σ = 523791110155824. Its totient is φ = 71909646336000.
The previous prime is 212212112021993. The next prime is 212212112022091. The reversal of 212212112022020 is 20220211212212.
It can be written as a sum of positive squares in 8 ways, for example, as 90372857783296 + 121839254238724 = 9506464^2 + 11038082^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 212212112021983 and 212212112022001.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21380957 + ... + 29691236.
It is an arithmetic number, because the mean of its divisors is an integer number (3637438264971).
Almost surely, 2212212112022020 is an apocalyptic number.
212212112022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
212212112022020 is an abundant number, since it is smaller than the sum of its proper divisors (311578998133804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
212212112022020 is a wasteful number, since it uses less digits than its factorization.
212212112022020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 51072342 (or 51072329 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 20.
Adding to 212212112022020 its reverse (20220211212212), we get a palindrome (232432323234232).
It can be divided in two parts, 2122121 and 12022020, that added together give a palindrome (14144141).
The spelling of 212212112022020 in words is "two hundred twelve trillion, two hundred twelve billion, one hundred twelve million, twenty-two thousand, twenty".
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