Base | Representation |
---|---|
bin | 11101001000111011000… |
… | …11011100110100100000 |
3 | 10112201022222010001100001 |
4 | 32210131203130310200 |
5 | 112401001120243240 |
6 | 2043542224105344 |
7 | 132223146612502 |
oct | 16443543346440 |
9 | 3481288101301 |
10 | 1001223212320 |
11 | 356686446471 |
12 | 142063765254 |
13 | 73551829606 |
14 | 36660a99d72 |
15 | 1b09dd3989a |
hex | e91d8dcd20 |
1001223212320 has 48 divisors (see below), whose sum is σ = 2365452904248. Its totient is φ = 400478607360.
The previous prime is 1001223212251. The next prime is 1001223212387. The reversal of 1001223212320 is 232123221001.
It can be written as a sum of positive squares in 4 ways, for example, as 675506459664 + 325716752656 = 821892^2 + 570716^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9055612 + ... + 9165508.
Almost surely, 21001223212320 is an apocalyptic number.
1001223212320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
1001223212320 is an abundant number, since it is smaller than the sum of its proper divisors (1364229691928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001223212320 is a wasteful number, since it uses less digits than its factorization.
1001223212320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 166853 (or 166845 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 19.
Adding to 1001223212320 its reverse (232123221001), we get a palindrome (1233346433321).
The spelling of 1001223212320 in words is "one trillion, one billion, two hundred twenty-three million, two hundred twelve thousand, three hundred twenty".
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