| Base | Representation |
|---|---|
| bin | 100000011101001000111… |
| … | …101100000110011000100 |
| 3 | 21220012211021201100001101 |
| 4 | 200131020331200303010 |
| 5 | 243020134400030200 |
| 6 | 4424331412505444 |
| 7 | 320064133102300 |
| oct | 40351075406304 |
| 9 | 7805737640041 |
| 10 | 2230312111300 |
| 11 | 78a963051939 |
| 12 | 3002bb01b284 |
| 13 | 1324187c6c80 |
| 14 | 79d3a622d00 |
| 15 | 3d03767d26a |
| hex | 20748f60cc4 |
2230312111300 has 216 divisors, whose sum is σ = 6069392799624. Its totient is φ = 705114869760.
The previous prime is 2230312111277. The next prime is 2230312111301. The reversal of 2230312111300 is 31112130322.
It can be written as a sum of positive squares in 12 ways, for example, as 658162257984 + 1572149853316 = 811272^2 + 1253854^2 .
It is a super-3 number, since 3×22303121113003 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (2230312111301) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 62216982 + ... + 62252818.
It is an arithmetic number, because the mean of its divisors is an integer number (28099040739).
Almost surely, 22230312111300 is an apocalyptic number.
2230312111300 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 2230312111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3034696399812).
2230312111300 is an abundant number, since it is smaller than the sum of its proper divisors (3839080688324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230312111300 is a wasteful number, since it uses less digits than its factorization.
2230312111300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 36855 (or 36841 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 19.
Adding to 2230312111300 its reverse (31112130322), we get a palindrome (2261424241622).
The spelling of 2230312111300 in words is "two trillion, two hundred thirty billion, three hundred twelve million, one hundred eleven thousand, three hundred".
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