Base | Representation |
---|---|
bin | 1001101001000100001111… |
… | …00101000101110001110100 |
3 | 2210001220200002100221211220 |
4 | 10310202013211011301310 |
5 | 10234334133201021322 |
6 | 113032101012230340 |
7 | 4315545050544012 |
oct | 464420745056164 |
9 | 83056602327756 |
10 | 21202233220212 |
11 | 68348a8a03570 |
12 | 246517500b3b0 |
13 | baa492461a05 |
14 | 53429d1cd8b2 |
15 | 26b7bab5155c |
hex | 134887945c74 |
21202233220212 has 96 divisors (see below), whose sum is σ = 55434164319744. Its totient is φ = 6250571971200.
The previous prime is 21202233220199. The next prime is 21202233220277.
21202233220212 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×212022332202122 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
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, 44161683 + ... + 44639205.
It is an arithmetic number, because the mean of its divisors is an integer number (577439211664).
Almost surely, 221202233220212 is an apocalyptic number.
21202233220212 is a gapful number since it is divisible by the number (22) 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 21202233220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27717082159872).
21202233220212 is an abundant number, since it is smaller than the sum of its proper divisors (34231931099532).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21202233220212 is a wasteful number, since it uses less digits than its factorization.
21202233220212 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 486669 (or 486667 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
It can be divided in two parts, 2120223 and 3220212, that added together give a palindrome (5340435).
The spelling of 21202233220212 in words is "twenty-one trillion, two hundred two billion, two hundred thirty-three million, two hundred twenty thousand, two hundred twelve".
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