| Base | Representation |
|---|---|
| bin | 100001101011101… |
| … | …1000001110010000 |
| 3 | 2220202200012200100 |
| 4 | 1003113120032100 |
| 5 | 4303312431000 |
| 6 | 304052052400 |
| 7 | 40002362364 |
| oct | 10327301620 |
| 9 | 2822605610 |
| 10 | 1130202000 |
| 11 | 52aa73544 |
| 12 | 276604100 |
| 13 | 1501c68a5 |
| 14 | aa1612a4 |
| 15 | 6934ea00 |
| hex | 435d8390 |
1130202000 has 240 divisors, whose sum is σ = 4056494832. Its totient is φ = 293068800.
The previous prime is 1130201959. The next prime is 1130202001. The reversal of 1130202000 is 2020311.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 7683984 + 1122518016 = 2772^2 + 33504^2 .
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1130202001) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 665152 + ... + 666848.
Almost surely, 21130202000 is an apocalyptic number.
1130202000 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 1130202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028247416).
1130202000 is an abundant number, since it is smaller than the sum of its proper divisors (2926292832).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1130202000 is a wasteful number, since it uses less digits than its factorization.
1130202000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1763 (or 1744 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 1130202000 is about 33618.4770624727. The cubic root of 1130202000 is about 1041.6424982837.
Adding to 1130202000 its reverse (2020311), we get a palindrome (1132222311).
The spelling of 1130202000 in words is "one billion, one hundred thirty million, two hundred two thousand".
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