| Base | Representation |
|---|---|
| bin | 11101110000011100100… |
| … | …11001101011011010000 |
| 3 | 10121202002202020220200120 |
| 4 | 32320032103031123100 |
| 5 | 113222430141230300 |
| 6 | 2101411535150240 |
| 7 | 133604032510545 |
| oct | 16701623153320 |
| 9 | 3552082226616 |
| 10 | 1022442133200 |
| 11 | 364684a24814 |
| 12 | 1461a5975380 |
| 13 | 755538c18b7 |
| 14 | 376b4bd8bcc |
| 15 | 1b8e1acc3a0 |
| hex | ee0e4cd6d0 |
1022442133200 has 240 divisors, whose sum is σ = 3311104742400. Its totient is φ = 269678937600.
The previous prime is 1022442133151. The next prime is 1022442133201. The reversal of 1022442133200 is 23312442201.
It is a happy number.
1022442133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1022442133201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45191491 + ... + 45214109.
It is an arithmetic number, because the mean of its divisors is an integer number (13796269760).
Almost surely, 21022442133200 is an apocalyptic number.
1022442133200 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 1022442133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655552371200).
1022442133200 is an abundant number, since it is smaller than the sum of its proper divisors (2288662609200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022442133200 is a wasteful number, since it uses less digits than its factorization.
1022442133200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 23050 (or 23039 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
Adding to 1022442133200 its reverse (23312442201), we get a palindrome (1045754575401).
The spelling of 1022442133200 in words is "one trillion, twenty-two billion, four hundred forty-two million, one hundred thirty-three thousand, two hundred".
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