Base | Representation |
---|---|
bin | 100001011010101… |
… | …1010111010000100 |
3 | 2220010220221120100 |
4 | 1002311122322010 |
5 | 4244023100400 |
6 | 303133204100 |
7 | 36533615334 |
oct | 10265327204 |
9 | 2803827510 |
10 | 1121300100 |
11 | 525a433a8 |
12 | 273630630 |
13 | 14b3caaab |
14 | a8cc50c4 |
15 | 68692100 |
hex | 42d5ae84 |
1121300100 has 108 divisors (see below), whose sum is σ = 3526035604. Its totient is φ = 298045440.
The previous prime is 1121300099. The next prime is 1121300107. The reversal of 1121300100 is 10031211.
It can be written as a sum of positive squares in 6 ways, for example, as 260112384 + 861187716 = 16128^2 + 29346^2 .
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (1121300107) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 301452 + ... + 305148.
Almost surely, 21121300100 is an apocalyptic number.
1121300100 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 1121300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763017802).
1121300100 is an abundant number, since it is smaller than the sum of its proper divisors (2404735504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1121300100 is a wasteful number, since it uses less digits than its factorization.
1121300100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4054 (or 4044 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1121300100 is about 33485.8193867195. The cubic root of 1121300100 is about 1038.9004960346.
Adding to 1121300100 its reverse (10031211), we get a palindrome (1131331311).
The spelling of 1121300100 in words is "one billion, one hundred twenty-one million, three hundred thousand, one hundred".
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