| Base | Representation |
|---|---|
| bin | 1001100110111111111101… |
| … | …11111100110000111111000 |
| 3 | 2202211010101012122000221220 |
| 4 | 10303133332333212013320 |
| 5 | 10232203220341304422 |
| 6 | 112535314404032040 |
| 7 | 4310452246130544 |
| oct | 463377677460770 |
| 9 | 82733335560856 |
| 10 | 21131222213112 |
| 11 | 680777905a940 |
| 12 | 2453457692620 |
| 13 | ba388672510b |
| 14 | 530a84202a24 |
| 15 | 269a118d7e5c |
| hex | 1337fefe61f8 |
21131222213112 has 256 divisors, whose sum is σ = 59163365053440. Its totient is φ = 6235622400000.
The previous prime is 21131222213107. The next prime is 21131222213117.
21131222213112 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (21131222213107) and next prime (21131222213117).
It is a super-2 number, since 2×211312222131122 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (21131222213117) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797000368 + ... + 797026880.
It is an arithmetic number, because the mean of its divisors is an integer number (231106894740).
Almost surely, 221131222213112 is an apocalyptic number.
21131222213112 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 21131222213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29581682526720).
21131222213112 is an abundant number, since it is smaller than the sum of its proper divisors (38032142840328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
21131222213112 is a wasteful number, since it uses less digits than its factorization.
21131222213112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 27126 (or 27122 counting only the distinct ones).
The product of its digits is 576, while the sum is 24.
It can be divided in two parts, 2113122 and 2213112, that added together give a palindrome (4326234).
The spelling of 21131222213112 in words is "twenty-one trillion, one hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, one hundred twelve".
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