| Base | Representation |
|---|---|
| bin | 10110111110000011001111… |
| … | …111110101111000010000000 |
| 3 | 111020200112011112222210011020 |
| 4 | 112332003033332233002000 |
| 5 | 101220112223223144300 |
| 6 | 554504243434545440 |
| 7 | 30164351350064643 |
| oct | 2676031776570200 |
| 9 | 436615145883136 |
| 10 | 101021120131200 |
| 11 | 2a2088a8776255 |
| 12 | b3b66a0898280 |
| 13 | 444a334b98129 |
| 14 | 1ad363c1dda5a |
| 15 | ba2bd02b28a0 |
| hex | 5be0cffaf080 |
101021120131200 has 384 divisors, whose sum is σ = 353756280113280. Its totient is φ = 25281519943680.
The previous prime is 101021120131163. The next prime is 101021120131207. The reversal of 101021120131200 is 2131021120101.
It is a tau number, because it is divible by the number of its divisors (384).
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 101021120131200.
It is not an unprimeable number, because it can be changed into a prime (101021120131207) 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, 7386144 + ... + 16018656.
It is an arithmetic number, because the mean of its divisors is an integer number (921240312795).
Almost surely, 2101021120131200 is an apocalyptic number.
101021120131200 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 101021120131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176878140056640).
101021120131200 is an abundant number, since it is smaller than the sum of its proper divisors (252735159982080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101021120131200 is a wasteful number, since it uses less digits than its factorization.
101021120131200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8632616 (or 8632599 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 15.
Adding to 101021120131200 its reverse (2131021120101), we get a palindrome (103152141251301).
The spelling of 101021120131200 in words is "one hundred one trillion, twenty-one billion, one hundred twenty million, one hundred thirty-one thousand, two hundred".
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