| Base | Representation |
|---|---|
| bin | 11101101111101000000… |
| … | …00011111110001100000 |
| 3 | 10121200222000020001010122 |
| 4 | 32313310000133301200 |
| 5 | 113221024230120000 |
| 6 | 2101300100415412 |
| 7 | 133560065223332 |
| oct | 16676400376140 |
| 9 | 3550860201118 |
| 10 | 1022001020000 |
| 11 | 364478a28954 |
| 12 | 1460a20a7568 |
| 13 | 754b33b6b7c |
| 14 | 376723b1452 |
| 15 | 1b8b7ee7085 |
| hex | edf401fc60 |
1022001020000 has 240 divisors, whose sum is σ = 2546991326880. Its totient is φ = 403508736000.
The previous prime is 1022001019979. The next prime is 1022001020021. The reversal of 1022001020000 is 201002201.
1022001020000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1022001019979) and next prime (1022001020021).
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 1022001020000.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 842539394 + ... + 842540606.
It is an arithmetic number, because the mean of its divisors is an integer number (10612463862).
Almost surely, 21022001020000 is an apocalyptic number.
1022001020000 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 1022001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273495663440).
1022001020000 is an abundant number, since it is smaller than the sum of its proper divisors (1524990306880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022001020000 is a wasteful number, since it uses less digits than its factorization.
1022001020000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1755 (or 1732 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 8.
Adding to 1022001020000 its reverse (201002201), we get a palindrome (1022202022201).
The spelling of 1022001020000 in words is "one trillion, twenty-two billion, one million, twenty thousand".
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