Base | Representation |
---|---|
bin | 11101101110011101001… |
… | …11101000000000000000 |
3 | 10121122100021220002000000 |
4 | 32313032213220000000 |
5 | 113213233134234404 |
6 | 2101113532000000 |
7 | 133535410366611 |
oct | 16671647500000 |
9 | 3548307802000 |
10 | 1021373743104 |
11 | 36418693a4a0 |
12 | 145b48000000 |
13 | 7541345a900 |
14 | 37612d67c08 |
15 | 1b87cddc339 |
hex | edce9e8000 |
1021373743104 has 1344 divisors, whose sum is σ = 3775174607520. Its totient is φ = 273277255680.
The previous prime is 1021373743087. The next prime is 1021373743109. The reversal of 1021373743104 is 4013473731201.
1021373743104 is a `hidden beast` number, since 1 + 0 + 213 + 7 + 3 + 7 + 431 + 0 + 4 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (1021373743109) 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 83 ways as a sum of consecutive naturals, for example, 44407554037 + ... + 44407554059.
Almost surely, 21021373743104 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1021373743104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887587303760).
1021373743104 is an abundant number, since it is smaller than the sum of its proper divisors (2753800864416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1021373743104 is an frugal number, since it uses more digits than its factorization.
1021373743104 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 52 counting only the distinct ones).
The product of its (nonzero) digits is 42336, while the sum is 36.
The spelling of 1021373743104 in words is "one trillion, twenty-one billion, three hundred seventy-three million, seven hundred forty-three thousand, one hundred four".
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