| Base | Representation |
|---|---|
| bin | 100001101101001… |
| … | …1011100010010000 |
| 3 | 2220211011212001222 |
| 4 | 1003122123202100 |
| 5 | 4304014031000 |
| 6 | 304121144212 |
| 7 | 40012233632 |
| oct | 10332334220 |
| 9 | 2824155058 |
| 10 | 1131002000 |
| 11 | 53046a5a7 |
| 12 | 27692b068 |
| 13 | 150416a6b |
| 14 | aa2cca52 |
| 15 | 6945ba85 |
| hex | 4369b890 |
1131002000 has 120 divisors (see below), whose sum is σ = 2861509560. Its totient is φ = 432326400.
The previous prime is 1131001981. The next prime is 1131002003. The reversal of 1131002000 is 2001311.
It can be written as a sum of positive squares in 4 ways, for example, as 58308496 + 1072693504 = 7636^2 + 32752^2 .
It is a Harshad number since it is a multiple of its sum of digits (8).
It is not an unprimeable number, because it can be changed into a prime (1131002003) 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 23 ways as a sum of consecutive naturals, for example, 1057466 + ... + 1058534.
It is an arithmetic number, because the mean of its divisors is an integer number (23845913).
Almost surely, 21131002000 is an apocalyptic number.
1131002000 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 1131002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430754780).
1131002000 is an abundant number, since it is smaller than the sum of its proper divisors (1730507560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1131002000 is a wasteful number, since it uses less digits than its factorization.
1131002000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1138 (or 1099 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 8.
The square root of 1131002000 is about 33630.3731766390. The cubic root of 1131002000 is about 1041.8882117222. Note that the first 3 decimals are identical.
Adding to 1131002000 its reverse (2001311), we get a palindrome (1133003311).
The spelling of 1131002000 in words is "one billion, one hundred thirty-one million, two thousand".
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