Base | Representation |
---|---|
bin | 10110111111011111010101… |
… | …110011100101101000001000 |
3 | 111021000222101210220021122010 |
4 | 112333133111303211220020 |
5 | 101223222231020321300 |
6 | 555021515423055520 |
7 | 30204451630114110 |
oct | 2677372563455010 |
9 | 437028353807563 |
10 | 101120002120200 |
11 | 2a246830005118 |
12 | b4118981415a0 |
13 | 4456762b8bbab |
14 | 1ad833c994040 |
15 | ba556b2a9a50 |
hex | 5bf7d5ce5a08 |
101120002120200 has 384 divisors, whose sum is σ = 364933257062400. Its totient is φ = 22686177669120.
The previous prime is 101120002120187. The next prime is 101120002120213. The reversal of 101120002120200 is 2021200021101.
101120002120200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (101120002120187) and next prime (101120002120213).
It is a super-3 number, since 3×1011200021202003 (a number of 43 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
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, 47849511 + ... + 49918089.
It is an arithmetic number, because the mean of its divisors is an integer number (950347023600).
Almost surely, 2101120002120200 is an apocalyptic number.
101120002120200 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 101120002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182466628531200).
101120002120200 is an abundant number, since it is smaller than the sum of its proper divisors (263813254942200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101120002120200 is a wasteful number, since it uses less digits than its factorization.
101120002120200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2068821 (or 2068812 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 12.
Adding to 101120002120200 its reverse (2021200021101), we get a palindrome (103141202141301).
The spelling of 101120002120200 in words is "one hundred one trillion, one hundred twenty billion, two million, one hundred twenty thousand, two hundred".
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