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1131341112 = 23321123173359
BaseRepresentation
bin100001101101110…
…1110010100111000
32220211211002020200
41003123232110320
54304110403422
6304132322200
740015145406
oct10333562470
92824732220
101131341112
11530681360
12276a73360
13150505215
14aa37a476
15694c72ac
hex436ee538

1131341112 has 192 divisors, whose sum is σ = 3517862400. Its totient is φ = 325121280.

The previous prime is 1131341083. The next prime is 1131341129. The reversal of 1131341112 is 2111431311.

It is a happy number.

1131341112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 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, 3151189 + ... + 3151547.

It is an arithmetic number, because the mean of its divisors is an integer number (18322200).

Almost surely, 21131341112 is an apocalyptic number.

1131341112 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 1131341112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758931200).

1131341112 is an abundant number, since it is smaller than the sum of its proper divisors (2386521288).

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

1131341112 is a wasteful number, since it uses less digits than its factorization.

1131341112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 571 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 1131341112 is about 33635.4145507380. The cubic root of 1131341112 is about 1041.9923322245.

Adding to 1131341112 its reverse (2111431311), we get a palindrome (3242772423).

It can be divided in two parts, 11313 and 41112, that added together give a palindrome (52425).

The spelling of 1131341112 in words is "one billion, one hundred thirty-one million, three hundred forty-one thousand, one hundred twelve".