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1135200000 = 283551143
BaseRepresentation
bin100001110101001…
…1100011100000000
32221010002010122110
41003222130130000
54311102400000
6304351135320
740063016664
oct10352343400
92833063573
101135200000
11532877620
12278214540
1315125679c
14aaaa28a4
15699da850
hex43a9c700

1135200000 has 432 divisors, whose sum is σ = 4215480192. Its totient is φ = 268800000.

The previous prime is 1135199993. The next prime is 1135200013. The reversal of 1135200000 is 25311.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26399979 + ... + 26400021.

It is an arithmetic number, because the mean of its divisors is an integer number (9758056).

Almost surely, 21135200000 is an apocalyptic number.

1135200000 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 1135200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107740096).

1135200000 is an abundant number, since it is smaller than the sum of its proper divisors (3080280192).

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

1135200000 is an frugal number, since it uses more digits than its factorization.

1135200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1135200000 is about 33692.7291859831. The cubic root of 1135200000 is about 1043.1756973023.

Adding to 1135200000 its reverse (25311), we get a palindrome (1135225311).

The spelling of 1135200000 in words is "one billion, one hundred thirty-five million, two hundred thousand".