Base | Representation |
---|---|
bin | 110011001110110110… |
… | …1110101010001101010 |
3 | 101111222111110021000100 |
4 | 1212131231311101222 |
5 | 3300310134020020 |
6 | 122313111050230 |
7 | 10643255303631 |
oct | 1463555652152 |
9 | 344874407010 |
10 | 110020220010 |
11 | 42728600768 |
12 | 193a5670976 |
13 | a4b47594cc |
14 | 5479b68518 |
15 | 2cddc8da90 |
hex | 199db7546a |
110020220010 has 96 divisors (see below), whose sum is σ = 296007650640. Its totient is φ = 28318316544.
The previous prime is 110020220003. The next prime is 110020220029. The reversal of 110020220010 is 10022020011.
It can be written as a sum of positive squares in 8 ways, for example, as 20686781241 + 89333438769 = 143829^2 + 298887^2 .
It is a super-2 number, since 2×1100202200102 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 110020219974 and 110020220001.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16484034 + ... + 16490706.
Almost surely, 2110020220010 is an apocalyptic number.
110020220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 110020220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148003825320).
110020220010 is an abundant number, since it is smaller than the sum of its proper divisors (185987430630).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110020220010 is a wasteful number, since it uses less digits than its factorization.
110020220010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13032 (or 13029 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
Adding to 110020220010 its reverse (10022020011), we get a palindrome (120042240021).
The spelling of 110020220010 in words is "one hundred ten billion, twenty million, two hundred twenty thousand, ten".
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