Base | Representation |
---|---|
bin | 10000000000100011001… |
… | …000101010000111110110 |
3 | 10220011112221022011220000 |
4 | 100000203020222013312 |
5 | 121011001340200042 |
6 | 2201213544252130 |
7 | 142323350030541 |
oct | 20004310520766 |
9 | 3804487264800 |
10 | 1100101100022 |
11 | 394606433a31 |
12 | 159259771046 |
13 | 7c97ba15682 |
14 | 3b360aa3858 |
15 | 1d9397c174c |
hex | 1002322a1f6 |
1100101100022 has 80 divisors (see below), whose sum is σ = 2487168668160. Its totient is φ = 363415030272.
The previous prime is 1100101099897. The next prime is 1100101100041. The reversal of 1100101100022 is 2200011010011.
It is a happy number.
It is a super-2 number, since 2×11001011000222 (a number of 25 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 = 1100101099977 and 1100101100013.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19084468 + ... + 19142024.
It is an arithmetic number, because the mean of its divisors is an integer number (31089608352).
Almost surely, 21100101100022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1100101100022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243584334080).
1100101100022 is an abundant number, since it is smaller than the sum of its proper divisors (1387067568138).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100101100022 is a wasteful number, since it uses less digits than its factorization.
1100101100022 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 58627 (or 58618 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1100101100022 its reverse (2200011010011), we get a palindrome (3300112110033).
The spelling of 1100101100022 in words is "one trillion, one hundred billion, one hundred one million, one hundred thousand, twenty-two".
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