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1131338112 = 27321113963
BaseRepresentation
bin100001101101110…
…1101100110000000
32220211210221010120
41003123231212000
54304110304422
6304132300240
740015133562
oct10333554600
92824727116
101131338112
1153067a083
12276a71680
13150503a48
14aa379332
15694c645c
hex436ed980

1131338112 has 64 divisors (see below), whose sum is σ = 3019575360. Its totient is φ = 375298560.

The previous prime is 1131338093. The next prime is 1131338113. The reversal of 1131338112 is 2118331311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131338113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74043 + ... + 88005.

It is an arithmetic number, because the mean of its divisors is an integer number (47180865).

Almost surely, 21131338112 is an apocalyptic number.

1131338112 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 1131338112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509787680).

1131338112 is an abundant number, since it is smaller than the sum of its proper divisors (1888237248).

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

1131338112 is a wasteful number, since it uses less digits than its factorization.

1131338112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14191 (or 14179 counting only the distinct ones).

The product of its digits is 432, while the sum is 24.

The square root of 1131338112 is about 33635.3699548556. The cubic root of 1131338112 is about 1041.9914111997.

Adding to 1131338112 its reverse (2118331311), we get a palindrome (3249669423).

The spelling of 1131338112 in words is "one billion, one hundred thirty-one million, three hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 384 422 633 844 1266 1688 2532 3376 5064 6752 10128 13504 13963 20256 27008 27926 40512 41889 55852 81024 83778 111704 167556 223408 335112 446816 670224 893632 1340448 1787264 2680896 2946193 5361792 5892386 8838579 11784772 17677158 23569544 35354316 47139088 70708632 94278176 141417264 188556352 282834528 377112704 565669056 1131338112