Base | Representation |
---|---|
bin | 100000110010100… |
… | …0000011011011000 |
3 | 2211200020222021100 |
4 | 1001211000123120 |
5 | 4223124020440 |
6 | 301101311400 |
7 | 36156500556 |
oct | 10145003330 |
9 | 2750228240 |
10 | 1100220120 |
11 | 51505572a |
12 | 268565560 |
13 | 146c29c2c |
14 | a6198bd6 |
15 | 668cb230 |
hex | 419406d8 |
1100220120 has 96 divisors (see below), whose sum is σ = 3586096800. Its totient is φ = 292540416.
The previous prime is 1100220119. The next prime is 1100220131. The reversal of 1100220120 is 210220011.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124984 + ... + 133496.
It is an arithmetic number, because the mean of its divisors is an integer number (37355175).
Almost surely, 21100220120 is an apocalyptic number.
1100220120 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 1100220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793048400).
1100220120 is an abundant number, since it is smaller than the sum of its proper divisors (2485876680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100220120 is a wasteful number, since it uses less digits than its factorization.
1100220120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8889 (or 8882 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1100220120 is about 33169.5661714168. The cubic root of 1100220120 is about 1032.3489670758.
Adding to 1100220120 its reverse (210220011), we get a palindrome (1310440131).
It can be divided in two parts, 1 and 100220120, that added together give a square (100220121 = 100112).
The spelling of 1100220120 in words is "one billion, one hundred million, two hundred twenty thousand, one hundred twenty".
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