| Base | Representation |
|---|---|
| bin | 1001010001101110011010… |
| … | …1110100101000111001100 |
| 3 | 1100010010022010120210200100 |
| 4 | 2110123212232211013030 |
| 5 | 2314104323033043040 |
| 6 | 33405512202331100 |
| 7 | 2101635364525050 |
| oct | 224334656450714 |
| 9 | 40103263523610 |
| 10 | 10200123331020 |
| 11 | 3282936781687 |
| 12 | 1188a287b9a90 |
| 13 | 58cb37b9981c |
| 14 | 27398d755c60 |
| 15 | 12a4de129b30 |
| hex | 946e6ba51cc |
10200123331020 has 288 divisors, whose sum is σ = 36172991102976. Its totient is φ = 2278046592000.
The previous prime is 10200123331019. The next prime is 10200123331147. The reversal of 10200123331020 is 2013332100201.
10200123331020 is a `hidden beast` number, since 10 + 200 + 123 + 3 + 310 + 20 = 666.
10200123331020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10200123330984 and 10200123331002.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35447925 + ... + 35734515.
It is an arithmetic number, because the mean of its divisors is an integer number (125600663552).
Almost surely, 210200123331020 is an apocalyptic number.
10200123331020 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 10200123331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18086495551488).
10200123331020 is an abundant number, since it is smaller than the sum of its proper divisors (25972867771956).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10200123331020 is a wasteful number, since it uses less digits than its factorization.
10200123331020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 287261 (or 287256 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10200123331020 its reverse (2013332100201), we get a palindrome (12213455431221).
The spelling of 10200123331020 in words is "ten trillion, two hundred billion, one hundred twenty-three million, three hundred thirty-one thousand, twenty".
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