Base | Representation |
---|---|
bin | 11101101111101010101… |
… | …00010110011110010000 |
3 | 10121201000112120211202210 |
4 | 32313311110112132100 |
5 | 113221100342031000 |
6 | 2101302203512120 |
7 | 133560453115650 |
oct | 16676524263620 |
9 | 3551015524683 |
10 | 1022023002000 |
11 | 36448a3822a0 |
12 | 1460a9528640 |
13 | 754b7b12480 |
14 | 37675294360 |
15 | 1b8b9dda350 |
hex | edf5516790 |
1022023002000 has 640 divisors, whose sum is σ = 4424084840448. Its totient is φ = 196031232000.
The previous prime is 1022023001977. The next prime is 1022023002029. The reversal of 1022023002000 is 2003202201.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5920917 + ... + 6091083.
Almost surely, 21022023002000 is an apocalyptic number.
1022023002000 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 1022023002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212042420224).
1022023002000 is an abundant number, since it is smaller than the sum of its proper divisors (3402061838448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022023002000 is a wasteful number, since it uses less digits than its factorization.
1022023002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 170224 (or 170208 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
Adding to 1022023002000 its reverse (2003202201), we get a palindrome (1024026204201).
The spelling of 1022023002000 in words is "one trillion, twenty-two billion, twenty-three million, two thousand".
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