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1116273312 = 253472111747
BaseRepresentation
bin100001010001000…
…1111101010100000
32212210110120010000
41002202033222200
54241231221222
6302433340000
736443111100
oct10242175240
92783416100
101116273312
1152311a730
12271a07600
1314a35aa6b
14a8377200
1567eec9ac
hex4288faa0

1116273312 has 720 divisors, whose sum is σ = 4505010048. Its totient is φ = 267079680.

The previous prime is 1116273287. The next prime is 1116273377. The reversal of 1116273312 is 2133726111.

1116273312 is a `hidden beast` number, since 1 + 1 + 1 + 627 + 3 + 31 + 2 = 666.

It is a super-3 number, since 3×11162733123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23750473 + ... + 23750519.

Almost surely, 21116273312 is an apocalyptic number.

1116273312 is a gapful number since it is divisible by the number (12) 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 1116273312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252505024).

1116273312 is an abundant number, since it is smaller than the sum of its proper divisors (3388736736).

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

1116273312 is a wasteful number, since it uses less digits than its factorization.

1116273312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 87 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 1116273312 is about 33410.6766169139. The cubic root of 1116273312 is about 1037.3457068080.

Adding to 1116273312 its reverse (2133726111), we get a palindrome (3249999423).

The spelling of 1116273312 in words is "one billion, one hundred sixteen million, two hundred seventy-three thousand, three hundred twelve".