Search a number
-
+
1311331112 = 23713791512
BaseRepresentation
bin100111000101001…
…0101001100101000
310101101111112002222
41032022111030220
510141200043422
6334042213212
744332062530
oct11612251450
93341445088
101311331112
11613237523
123071b4208
1317b8a4690
14c62304c0
157a1cc842
hex4e295328

1311331112 has 96 divisors (see below), whose sum is σ = 3084883200. Its totient is φ = 508809600.

The previous prime is 1311331111. The next prime is 1311331123. The reversal of 1311331112 is 2111331131.

It is not an unprimeable number, because it can be changed into a prime (1311331111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8684237 + ... + 8684387.

It is an arithmetic number, because the mean of its divisors is an integer number (32134200).

Almost surely, 21311331112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311331112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542441600).

1311331112 is an abundant number, since it is smaller than the sum of its proper divisors (1773552088).

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

1311331112 is a wasteful number, since it uses less digits than its factorization.

1311331112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 252 counting only the distinct ones).

The product of its digits is 54, while the sum is 17.

The square root of 1311331112 is about 36212.3060850866. The cubic root of 1311331112 is about 1094.5546619371.

Adding to 1311331112 its reverse (2111331131), we get a palindrome (3422662243).

The spelling of 1311331112 in words is "one billion, three hundred eleven million, three hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 79 91 104 151 158 182 302 316 364 553 604 632 728 1027 1057 1106 1208 1963 2054 2114 2212 3926 4108 4228 4424 7189 7852 8216 8456 11929 13741 14378 15704 22801 23858 27482 28756 45602 47716 54964 57512 83503 91204 95432 109928 155077 159607 167006 182408 296413 310154 319214 334012 592826 620308 638428 668024 1085539 1185652 1240616 1276856 1801279 2074891 2171078 2371304 3602558 4149782 4342156 7205116 8299564 8684312 12608953 14410232 16599128 23416627 25217906 46833254 50435812 93666508 100871624 163916389 187333016 327832778 655665556 1311331112