Base | Representation |
---|---|
bin | 11101000111000011111… |
… | …00000001110011011100 |
3 | 10112121202021002010120020 |
4 | 32203201330001303130 |
5 | 112341424043203200 |
6 | 2043255054352140 |
7 | 132156313260555 |
oct | 16434174016334 |
9 | 3477667063506 |
10 | 1000223022300 |
11 | 356212902947 |
12 | 141a247bb650 |
13 | 73422553ab8 |
14 | 365a7cdd32c |
15 | 1b04111bea0 |
hex | e8e1f01cdc |
1000223022300 has 144 divisors (see below), whose sum is σ = 2961380459520. Its totient is φ = 260536375040.
The previous prime is 1000223022289. The next prime is 1000223022319. The reversal of 1000223022300 is 32203220001.
1000223022300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1000223022300.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7107217 + ... + 7246583.
It is an arithmetic number, because the mean of its divisors is an integer number (20565142080).
Almost surely, 21000223022300 is an apocalyptic number.
1000223022300 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 1000223022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480690229760).
1000223022300 is an abundant number, since it is smaller than the sum of its proper divisors (1961157437220).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1000223022300 is a wasteful number, since it uses less digits than its factorization.
1000223022300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 139940 (or 139933 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
Adding to 1000223022300 its reverse (32203220001), we get a palindrome (1032426242301).
The spelling of 1000223022300 in words is "one trillion, two hundred twenty-three million, twenty-two thousand, three hundred".
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