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1131300000 = 253355419
BaseRepresentation
bin100001101101110…
…0100010010100000
32220211201222212000
41003123210102200
54304103100000
6304131404000
740014614505
oct10333442240
92824658760
101131300000
11530653486
12276a53600
131504bc5ac
14aa3694ac
15694ba000
hex436e44a0

1131300000 has 288 divisors, whose sum is σ = 4134110400. Its totient is φ = 300960000.

The previous prime is 1131299989. The next prime is 1131300007. The reversal of 1131300000 is 31311.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131300007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2699791 + ... + 2700209.

It is an arithmetic number, because the mean of its divisors is an integer number (14354550).

Almost surely, 21131300000 is an apocalyptic number.

1131300000 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 1131300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2067055200).

1131300000 is an abundant number, since it is smaller than the sum of its proper divisors (3002810400).

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

1131300000 is an frugal number, since it uses more digits than its factorization.

1131300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 429 counting only the distinct ones).

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

The square root of 1131300000 is about 33634.8034036175. The cubic root of 1131300000 is about 1041.9797103585.

Adding to 1131300000 its reverse (31311), we get a palindrome (1131331311).

The spelling of 1131300000 in words is "one billion, one hundred thirty-one million, three hundred thousand".