Base | Representation |
---|---|
bin | 11101001110101100100… |
… | …00011101111110110100 |
3 | 10120000022221001212010000 |
4 | 32213112100131332310 |
5 | 112423322414140200 |
6 | 2045213522231300 |
7 | 132363015220143 |
oct | 16472620357664 |
9 | 3500287055100 |
10 | 1004322021300 |
11 | 357a26664524 |
12 | 1427894b5530 |
13 | 739268284b0 |
14 | 3687646375a |
15 | 1b1d0dea300 |
hex | e9d641dfb4 |
1004322021300 has 360 divisors, whose sum is σ = 3572218847736. Its totient is φ = 242551895040.
The previous prime is 1004322021293. The next prime is 1004322021301. The reversal of 1004322021300 is 31202234001.
1004322021300 is a `hidden beast` number, since 1 + 0 + 0 + 432 + 20 + 213 + 0 + 0 = 666.
It can be written as a sum of positive squares in 12 ways, for example, as 501408442404 + 502913578896 = 708102^2 + 709164^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1004322021301) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5490922 + ... + 5670878.
Almost surely, 21004322021300 is an apocalyptic number.
1004322021300 is a gapful number since it is divisible by the number (10) 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 1004322021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786109423868).
1004322021300 is an abundant number, since it is smaller than the sum of its proper divisors (2567896826436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1004322021300 is a wasteful number, since it uses less digits than its factorization.
1004322021300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 180049 (or 180033 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 1004322021300 its reverse (31202234001), we get a palindrome (1035524255301).
The spelling of 1004322021300 in words is "one trillion, four billion, three hundred twenty-two million, twenty-one thousand, three hundred".
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