Base | Representation |
---|---|
bin | 111100001101010… |
… | …000111011111000 |
3 | 2121101200220200220 |
4 | 330031100323320 |
5 | 4032042011300 |
6 | 244122100040 |
7 | 34013536461 |
oct | 7415207370 |
9 | 2541626626 |
10 | 1010110200 |
11 | 4791a9820 |
12 | 24234a620 |
13 | 131369c58 |
14 | 9821dd68 |
15 | 5da2bda0 |
hex | 3c350ef8 |
1010110200 has 192 divisors, whose sum is σ = 3526917120. Its totient is φ = 236928000.
The previous prime is 1010110193. The next prime is 1010110201. The reversal of 1010110200 is 20110101.
It is a super-3 number, since 3×10101102003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1010110201) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202132 + ... + 207068.
It is an arithmetic number, because the mean of its divisors is an integer number (18369360).
Almost surely, 21010110200 is an apocalyptic number.
1010110200 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 1010110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763458560).
1010110200 is an abundant number, since it is smaller than the sum of its proper divisors (2516806920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1010110200 is a wasteful number, since it uses less digits than its factorization.
1010110200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4998 (or 4989 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
The square root of 1010110200 is about 31782.2308845682. The cubic root of 1010110200 is about 1003.3587726822.
Adding to 1010110200 its reverse (20110101), we get a palindrome (1030220301).
Subtracting from 1010110200 its reverse (20110101), we obtain a palindrome (990000099).
It can be divided in two parts, 10101 and 10200, that added together give a triangular number (20301 = T201).
The spelling of 1010110200 in words is "one billion, ten million, one hundred ten thousand, two hundred".
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