Base | Representation |
---|---|
bin | 101111000010101010… |
… | …0111101011110011100 |
3 | 100122202100001012212211 |
4 | 1132011110331132130 |
5 | 3123342401042340 |
6 | 114224121010204 |
7 | 10204253200030 |
oct | 1360524753634 |
9 | 318670035784 |
10 | 101021112220 |
11 | 3992a8698a6 |
12 | 176b3923964 |
13 | 96ac22c362 |
14 | 4c649061c0 |
15 | 2963bdb5ea |
hex | 178553d79c |
101021112220 has 96 divisors (see below), whose sum is σ = 243974707200. Its totient is φ = 34418545920.
The previous prime is 101021112167. The next prime is 101021112221. The reversal of 101021112220 is 22211120101.
101021112220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1010211122202 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 101021112220.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (101021112221) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28721902 + ... + 28725418.
It is an arithmetic number, because the mean of its divisors is an integer number (2541403200).
Almost surely, 2101021112220 is an apocalyptic number.
101021112220 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 101021112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121987353600).
101021112220 is an abundant number, since it is smaller than the sum of its proper divisors (142953594980).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
101021112220 is a wasteful number, since it uses less digits than its factorization.
101021112220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4763 (or 4761 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 13.
Adding to 101021112220 its reverse (22211120101), we get a palindrome (123232232321).
The spelling of 101021112220 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, two hundred twenty".
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