Base | Representation |
---|---|
bin | 100001110001011… |
… | …0100011001101000 |
3 | 2220222022120112102 |
4 | 1003202310121220 |
5 | 4310044413000 |
6 | 304240232532 |
7 | 40040023001 |
oct | 10342643150 |
9 | 2828276472 |
10 | 1133201000 |
11 | 531731758 |
12 | 27760b748 |
13 | 150a06949 |
14 | aa7021a8 |
15 | 697433d5 |
hex | 438b4668 |
1133201000 has 64 divisors (see below), whose sum is σ = 2656676880. Its totient is φ = 452428800.
The previous prime is 1133200993. The next prime is 1133201033. The reversal of 1133201000 is 1023311.
It can be written as a sum of positive squares in 8 ways, for example, as 146361604 + 986839396 = 12098^2 + 31414^2 .
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 1032452 + ... + 1033548.
Almost surely, 21133201000 is an apocalyptic number.
1133201000 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 1133201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1328338440).
1133201000 is an abundant number, since it is smaller than the sum of its proper divisors (1523475880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1133201000 is a wasteful number, since it uses less digits than its factorization.
1133201000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2151 (or 2137 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 11.
The square root of 1133201000 is about 33663.0509609572. The cubic root of 1133201000 is about 1042.5630201117.
Adding to 1133201000 its reverse (1023311), we get a palindrome (1134224311).
The spelling of 1133201000 in words is "one billion, one hundred thirty-three million, two hundred one thousand".
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