Base | Representation |
---|---|
bin | 11101101111110110011… |
… | …10000010010110010000 |
3 | 10121201021102212222012202 |
4 | 32313323032002112100 |
5 | 113221301213310000 |
6 | 2101320101542332 |
7 | 133563064510010 |
oct | 16677316022620 |
9 | 3551242788182 |
10 | 1022122010000 |
11 | 364530256493 |
12 | 1461167149a8 |
13 | 755024995a0 |
14 | 376844a7c40 |
15 | 1b8c3945dd5 |
hex | edfb382590 |
1022122010000 has 200 divisors, whose sum is σ = 3045737601984. Its totient is φ = 323484480000.
The previous prime is 1022122009999. The next prime is 1022122010011. The reversal of 1022122010000 is 102212201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (200).
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, 348395 + ... + 1471605.
Almost surely, 21022122010000 is an apocalyptic number.
1022122010000 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 1022122010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522868800992).
1022122010000 is an abundant number, since it is smaller than the sum of its proper divisors (2023615591984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022122010000 is a wasteful number, since it uses less digits than its factorization.
1022122010000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1123259 (or 1123238 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
Adding to 1022122010000 its reverse (102212201), we get a palindrome (1022224222201).
1022122010000 divided by its reverse (102212201) gives a 4-th power (10000 = 104).
The spelling of 1022122010000 in words is "one trillion, twenty-two billion, one hundred twenty-two million, ten thousand".
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