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1331411112 = 2332294713567
BaseRepresentation
bin100111101011011…
…1011100010101000
310102210021200200200
41033112323202220
510211320123422
6340040432200
744664544023
oct11726734250
93383250620
101331411112
11623601969
12311a78660
13182ab5335
14c8b7a1ba
157bd472ac
hex4f5bb8a8

1331411112 has 96 divisors (see below), whose sum is σ = 3809894400. Its totient is φ = 419352192.

The previous prime is 1331411057. The next prime is 1331411119. The reversal of 1331411112 is 2111141331.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (1331411119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91353 + ... + 104919.

It is an arithmetic number, because the mean of its divisors is an integer number (39686400).

Almost surely, 21331411112 is an apocalyptic number.

1331411112 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 1331411112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904947200).

1331411112 is an abundant number, since it is smaller than the sum of its proper divisors (2478483288).

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

1331411112 is a wasteful number, since it uses less digits than its factorization.

1331411112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655 (or 13648 counting only the distinct ones).

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

The square root of 1331411112 is about 36488.5065739885. The cubic root of 1331411112 is about 1100.1132423361.

Adding to 1331411112 its reverse (2111141331), we get a palindrome (3442552443).

The spelling of 1331411112 in words is "one billion, three hundred thirty-one million, four hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 47 58 72 87 94 116 141 174 188 232 261 282 348 376 423 522 564 696 846 1044 1128 1363 1692 2088 2726 3384 4089 5452 8178 10904 12267 13567 16356 24534 27134 32712 40701 49068 54268 81402 98136 108536 122103 162804 244206 325608 393443 488412 637649 786886 976824 1180329 1275298 1573772 1912947 2360658 2550596 3147544 3540987 3825894 4721316 5101192 5738841 7081974 7651788 9442632 11477682 14163948 15303576 18491821 22955364 28327896 36983642 45910728 55475463 73967284 110950926 147934568 166426389 221901852 332852778 443803704 665705556 1331411112