| Base | Representation |
|---|---|
| bin | 100000110010011… |
| … | …1110011100110100 |
| 3 | 2211200020120011100 |
| 4 | 1001210332130310 |
| 5 | 4223123241040 |
| 6 | 301101210100 |
| 7 | 36156435135 |
| oct | 10144763464 |
| 9 | 2750216140 |
| 10 | 1100212020 |
| 11 | 51504a636 |
| 12 | 268560930 |
| 13 | 146c2633b |
| 14 | a6195c8c |
| 15 | 668c8b30 |
| hex | 4193e734 |
1100212020 has 144 divisors (see below), whose sum is σ = 3447072720. Its totient is φ = 283834368.
The previous prime is 1100212019. The next prime is 1100212027. The reversal of 1100212020 is 202120011.
It can be written as a sum of positive squares in 8 ways, for example, as 46949904 + 1053262116 = 6852^2 + 32454^2 .
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 = 1100211993 and 1100212011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1100212027) 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, 1551426 + ... + 1552134.
It is an arithmetic number, because the mean of its divisors is an integer number (23938005).
Almost surely, 21100212020 is an apocalyptic number.
1100212020 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 1100212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723536360).
1100212020 is an abundant number, since it is smaller than the sum of its proper divisors (2346860700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100212020 is a wasteful number, since it uses less digits than its factorization.
1100212020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 994 (or 989 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1100212020 is about 33169.4440713136. Note that the first 3 decimals coincide. The cubic root of 1100212020 is about 1032.3464336291.
Adding to 1100212020 its reverse (202120011), we get a palindrome (1302332031).
The spelling of 1100212020 in words is "one billion, one hundred million, two hundred twelve thousand, twenty".
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