Base | Representation |
---|---|
bin | 101111000111111111… |
… | …1110100100011000000 |
3 | 100200012210212202101121 |
4 | 1132033333310203000 |
5 | 3124224212320000 |
6 | 114253553442024 |
7 | 10211555553430 |
oct | 1361777644300 |
9 | 320183782347 |
10 | 101200120000 |
11 | 39a11914011 |
12 | 17743870314 |
13 | 970a346715 |
14 | 4c805c22c0 |
15 | 297479ab1a |
hex | 178fff48c0 |
101200120000 has 560 divisors, whose sum is σ = 301655439360. Its totient is φ = 32947200000.
The previous prime is 101200119953. The next prime is 101200120027. The reversal of 101200120000 is 21002101.
101200120000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (560).
It is a Harshad number since it is a multiple of its sum of digits (7).
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 772519935 + ... + 772520065.
Almost surely, 2101200120000 is an apocalyptic number.
101200120000 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 101200120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150827719680).
101200120000 is an abundant number, since it is smaller than the sum of its proper divisors (200455319360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101200120000 is an equidigital number, since it uses as much as digits as its factorization.
101200120000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 290 (or 265 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 7.
Adding to 101200120000 its reverse (21002101), we get a palindrome (101221122101).
The spelling of 101200120000 in words is "one hundred one billion, two hundred million, one hundred twenty thousand".
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