Search a number
-
+
1131130000 = 245471113113
BaseRepresentation
bin100001101101011…
…1010110010010000
32220211102100122201
41003122322302100
54304032130000
6304124012544
740013306050
oct10332726220
92824370581
101131130000
11530547790
12276991154
131504600c0
14aa323560
156948496a
hex436bac90

1131130000 has 400 divisors, whose sum is σ = 3709512576. Its totient is φ = 322560000.

The previous prime is 1131129971. The next prime is 1131130001. The reversal of 1131130000 is 311311.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009944 + ... + 10010056.

Almost surely, 21131130000 is an apocalyptic number.

1131130000 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 1131130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854756288).

1131130000 is an abundant number, since it is smaller than the sum of its proper divisors (2578382576).

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

1131130000 is a wasteful number, since it uses less digits than its factorization.

1131130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1131130000 is about 33632.2761644228. The cubic root of 1131130000 is about 1041.9275151188.

Adding to 1131130000 its reverse (311311), we get a palindrome (1131441311).

It can be divided in two parts, 1131 and 130000, that added together give a palindrome (131131).

The spelling of 1131130000 in words is "one billion, one hundred thirty-one million, one hundred thirty thousand".