Base | Representation |
---|---|
bin | 111100010000110… |
… | …1100110010001110 |
3 | 12012220221022212200 |
4 | 1320201230302032 |
5 | 13120124200420 |
6 | 532352342330 |
7 | 101052365412 |
oct | 17041546216 |
9 | 5186838780 |
10 | 2022100110 |
11 | 948471818 |
12 | 4852449a6 |
13 | 262c14654 |
14 | 1527acd42 |
15 | bc7cab90 |
hex | 7886cc8e |
2022100110 has 96 divisors (see below), whose sum is σ = 5464311840. Its totient is φ = 518187264.
The previous prime is 2022100103. The next prime is 2022100117. The reversal of 2022100110 is 110012202.
It is an interprime number because it is at equal distance from previous prime (2022100103) and next prime (2022100117).
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 = 2022100092 and 2022100101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2022100117) 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, 590764 + ... + 594176.
It is an arithmetic number, because the mean of its divisors is an integer number (56919915).
Almost surely, 22022100110 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2022100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732155920).
2022100110 is an abundant number, since it is smaller than the sum of its proper divisors (3442211730).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2022100110 is a wasteful number, since it uses less digits than its factorization.
2022100110 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3682 (or 3679 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 2022100110 is about 44967.7674562569. The cubic root of 2022100110 is about 1264.5447929133.
Adding to 2022100110 its reverse (110012202), we get a palindrome (2132112312).
The spelling of 2022100110 in words is "two billion, twenty-two million, one hundred thousand, one hundred ten".
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