| Base | Representation |
|---|---|
| bin | 1001001101000100110000… |
| … | …1011111000010101011000 |
| 3 | 1022211111001121111112120100 |
| 4 | 2103101030023320111120 |
| 5 | 2311302203102211440 |
| 6 | 33305055421055400 |
| 7 | 2063106341166621 |
| oct | 223211413702530 |
| 9 | 38744047445510 |
| 10 | 10120221132120 |
| 11 | 3251a63aa4a60 |
| 12 | 11754496b7560 |
| 13 | 5854430b86a8 |
| 14 | 26db6d998a48 |
| 15 | 1283b4529230 |
| hex | 9344c2f8558 |
10120221132120 has 768 divisors, whose sum is σ = 39447853286400. Its totient is φ = 2221150187520.
The previous prime is 10120221132083. The next prime is 10120221132137. The reversal of 10120221132120 is 2123112202101.
10120221132120 is a `hidden beast` number, since 1 + 0 + 120 + 221 + 1 + 321 + 2 + 0 = 666.
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 = 10120221132093 and 10120221132102.
It is a congruent number.
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 191 ways as a sum of consecutive naturals, for example, 2583664402 + ... + 2583668318.
It is an arithmetic number, because the mean of its divisors is an integer number (51364392300).
Almost surely, 210120221132120 is an apocalyptic number.
10120221132120 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 10120221132120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19723926643200).
10120221132120 is an abundant number, since it is smaller than the sum of its proper divisors (29327632154280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10120221132120 is a wasteful number, since it uses less digits than its factorization.
10120221132120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5480 (or 5473 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 18.
Adding to 10120221132120 its reverse (2123112202101), we get a palindrome (12243333334221).
The spelling of 10120221132120 in words is "ten trillion, one hundred twenty billion, two hundred twenty-one million, one hundred thirty-two thousand, one hundred twenty".
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