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1131533300 = 2252231014871
BaseRepresentation
bin100001101110001…
…1101001111110100
32220212011211212202
41003130131033310
54304133031200
6304140404032
740016605622
oct10334351764
92825154782
101131533300
115307a2797
12276b46618
13150571841
14aa3ca512
15695141d5
hex4371d3f4

1131533300 has 72 divisors (see below), whose sum is σ = 2588084352. Its totient is φ = 428560000.

The previous prime is 1131533269. The next prime is 1131533309. The reversal of 1131533300 is 33351311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131533309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229865 + ... + 234735.

It is an arithmetic number, because the mean of its divisors is an integer number (35945616).

Almost surely, 21131533300 is an apocalyptic number.

1131533300 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 1131533300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294042176).

1131533300 is an abundant number, since it is smaller than the sum of its proper divisors (1456551052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131533300 is a wasteful number, since it uses less digits than its factorization.

1131533300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 1131533300 is about 33638.2713586772. The cubic root of 1131533300 is about 1042.0513321381.

Adding to 1131533300 its reverse (33351311), we get a palindrome (1164884611).

The spelling of 1131533300 in words is "one billion, one hundred thirty-one million, five hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 101 115 202 230 404 460 505 575 1010 1150 2020 2300 2323 2525 4646 4871 5050 9292 9742 10100 11615 19484 23230 24355 46460 48710 58075 97420 112033 116150 121775 224066 232300 243550 448132 487100 491971 560165 983942 1120330 1967884 2240660 2459855 2800825 4919710 5601650 9839420 11203300 11315333 12299275 22630666 24598550 45261332 49197100 56576665 113153330 226306660 282883325 565766650 1131533300