Base | Representation |
---|---|
bin | 10001111011101100000… |
… | …111011001101110010000 |
3 | 11100210211122021100020221 |
4 | 101323230013121232100 |
5 | 130142243413310000 |
6 | 2342042041242424 |
7 | 155014042153234 |
oct | 21735407315620 |
9 | 4323748240227 |
10 | 1232322010000 |
11 | 435696714654 |
12 | 17a9ba193414 |
13 | 8c290a60203 |
14 | 439050d05c4 |
15 | 220c75d261a |
hex | 11eec1d9b90 |
1232322010000 has 225 divisors, whose sum is σ = 3174264043951. Its totient is φ = 463222528000.
The previous prime is 1232322009973. The next prime is 1232322010001. The reversal of 1232322010000 is 102232321.
The square root of 1232322010000 is 1110100.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in 22 ways, for example, as 1144412131984 + 87909878016 = 1069772^2 + 296496^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1232322010001) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1887169674 + ... + 1887170326.
Almost surely, 21232322010000 is an apocalyptic number.
1232322010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
1232322010000 is the 1110100-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1232322010000
1232322010000 is an abundant number, since it is smaller than the sum of its proper divisors (1941942033951).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1232322010000 is an frugal number, since it uses more digits than its factorization.
1232322010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1368 (or 677 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
Multiplying 1232322010000 by its sum of digits (16), we get a square (19717152160000 = 44404002).
1232322010000 divided by its sum of digits (16) gives a square (77020125625 = 2775252).
Multiplying 1232322010000 by its product of nonzero digits (144), we get a square (177454369440000 = 133212002).
Adding to 1232322010000 its reverse (102232321), we get a palindrome (1232424242321).
The spelling of 1232322010000 in words is "one trillion, two hundred thirty-two billion, three hundred twenty-two million, ten thousand".
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