| Base | Representation |
|---|---|
| bin | 1001010001110001101110… |
| … | …1100010011110001000000 |
| 3 | 1100010012121001122012202100 |
| 4 | 2110130123230103301000 |
| 5 | 2314113133023200003 |
| 6 | 33410140304150400 |
| 7 | 2101666404502140 |
| oct | 224343354236100 |
| 9 | 40105531565670 |
| 10 | 10201011928128 |
| 11 | 328325232585a |
| 12 | 1189036308400 |
| 13 | 58cc49cccc28 |
| 14 | 273a35784920 |
| 15 | 12a542152ba3 |
| hex | 9471bb13c40 |
10201011928128 has 672 divisors, whose sum is σ = 36150591859200. Its totient is φ = 2684189933568.
The previous prime is 10201011928099. The next prime is 10201011928187. The reversal of 10201011928128 is 82182911010201.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (672).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10201011928092 and 10201011928101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 591731733 + ... + 591748971.
It is an arithmetic number, because the mean of its divisors is an integer number (53795523600).
Almost surely, 210201011928128 is an apocalyptic number.
10201011928128 is a gapful number since it is divisible by the number (18) 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 10201011928128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18075295929600).
10201011928128 is an abundant number, since it is smaller than the sum of its proper divisors (25949579931072).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10201011928128 is a wasteful number, since it uses less digits than its factorization.
10201011928128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17467 (or 17454 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 36.
Adding to 10201011928128 its reverse (82182911010201), we get a palindrome (92383922938329).
The spelling of 10201011928128 in words is "ten trillion, two hundred one billion, eleven million, nine hundred twenty-eight thousand, one hundred twenty-eight".
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