Search a number
-
+
1131812136 = 233371371811
BaseRepresentation
bin100001101110110…
…0001010100101000
32220212201000101000
41003131201110220
54304220442021
6304150355000
740022146560
oct10335412450
92825630330
101131812136
11530973234
1227705ba60
1315063b730
14aa45dda0
156956bb26
hex43761528

1131812136 has 256 divisors, whose sum is σ = 3928780800. Its totient is φ = 293932800.

The previous prime is 1131812131. The next prime is 1131812137. The reversal of 1131812136 is 6312181311.

It is a super-2 number, since 2×11318121362 = 2561997422393764992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1131812131) 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 63 ways as a sum of consecutive naturals, for example, 1395171 + ... + 1395981.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 21131812136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131812136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964390400).

1131812136 is an abundant number, since it is smaller than the sum of its proper divisors (2796968664).

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

1131812136 is a wasteful number, since it uses less digits than its factorization.

1131812136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 907 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 1131812136 is about 33642.4157277684. The cubic root of 1131812136 is about 1042.1369202988.

Adding to 1131812136 its reverse (6312181311), we get a palindrome (7443993447).

The spelling of 1131812136 in words is "one billion, one hundred thirty-one million, eight hundred twelve thousand, one hundred thirty-six".