Search a number
-
+
1112311122 = 2313177431129
BaseRepresentation
bin100001001001100…
…1000010101010010
32212112000021000020
41002103020111102
54234222423442
6302212404310
736364326366
oct10223102522
92775007006
101112311122
1152096389a
12270616696
131495a1480
14a7a252a6
15679b89ec
hex424c8552

1112311122 has 64 divisors (see below), whose sum is σ = 2542337280. Its totient is φ = 321398784.

The previous prime is 1112311103. The next prime is 1112311127. The reversal of 1112311122 is 2211132111.

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

It is not an unprimeable number, because it can be changed into a prime (1112311127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984654 + ... + 985782.

It is an arithmetic number, because the mean of its divisors is an integer number (39724020).

Almost surely, 21112311122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112311122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271168640).

1112311122 is an abundant number, since it is smaller than the sum of its proper divisors (1430026158).

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

1112311122 is a wasteful number, since it uses less digits than its factorization.

1112311122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907.

The product of its digits is 24, while the sum is 15.

The square root of 1112311122 is about 33351.3286392012. The cubic root of 1112311122 is about 1036.1169057810.

Adding to 1112311122 its reverse (2211132111), we get a palindrome (3323443233).

The spelling of 1112311122 in words is "one billion, one hundred twelve million, three hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 743 1129 1326 1486 2229 2258 3387 4458 6774 9659 12631 14677 19193 19318 25262 28977 29354 37893 38386 44031 57579 57954 75786 88062 115158 164203 249509 328406 492609 499018 748527 838847 985218 1497054 1677694 2516541 5033082 10905011 14260399 21810022 28520798 32715033 42781197 65430066 85562394 185385187 370770374 556155561 1112311122