Base | Representation |
---|---|
bin | 10010101010100111… |
… | …00000000111001100 |
3 | 221212101111010220101 |
4 | 21111103200013030 |
5 | 131010401011340 |
6 | 4334215100444 |
7 | 503222013532 |
oct | 112523400714 |
9 | 27771433811 |
10 | 10021110220 |
11 | 4282723480 |
12 | 1b38071724 |
13 | c3919c024 |
14 | 6b0c9a152 |
15 | 3d9b7cc9a |
hex | 2554e01cc |
10021110220 has 96 divisors (see below), whose sum is σ = 23806089216. Its totient is φ = 3510412800.
The previous prime is 10021110193. The next prime is 10021110221. The reversal of 10021110220 is 2201112001.
It is a super-3 number, since 3×100211102203 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a junction number, because it is equal to n+sod(n) for n = 10021110197 and 10021110206.
It is not an unprimeable number, because it can be changed into a prime (10021110221) 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, 1544904 + ... + 1551376.
It is an arithmetic number, because the mean of its divisors is an integer number (247980096).
Almost surely, 210021110220 is an apocalyptic number.
10021110220 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 10021110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11903044608).
10021110220 is an abundant number, since it is smaller than the sum of its proper divisors (13784978996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021110220 is a wasteful number, since it uses less digits than its factorization.
10021110220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6751 (or 6749 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 10.
Adding to 10021110220 its reverse (2201112001), we get a palindrome (12222222221).
The spelling of 10021110220 in words is "ten billion, twenty-one million, one hundred ten thousand, two hundred twenty".
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