Search a number
-
+
11131042416 = 2431317838209
BaseRepresentation
bin10100101110111011…
…00011101001110000
31001201202000112122020
422113131203221300
5140244021324131
65040304511440
7542560204464
oct122735435160
931652015566
1011131042416
1147a2201a0a
1221a791b580
131085119740
147784624a4
15452326996
hex297763a70

11131042416 has 40 divisors (see below), whose sum is σ = 30967132560. Its totient is φ = 3424935936.

The previous prime is 11131042397. The next prime is 11131042423. The reversal of 11131042416 is 61424013111.

It is a happy number.

It is a super-2 number, since 2×111310424162 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8918481 + ... + 8919728.

It is an arithmetic number, because the mean of its divisors is an integer number (774178314).

Almost surely, 211131042416 is an apocalyptic number.

11131042416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11131042416 is an abundant number, since it is smaller than the sum of its proper divisors (19836090144).

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

11131042416 is a wasteful number, since it uses less digits than its factorization.

11131042416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17838233 (or 17838227 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11131042416 its reverse (61424013111), we get a palindrome (72555055527).

The spelling of 11131042416 in words is "eleven billion, one hundred thirty-one million, forty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 17838209 35676418 53514627 71352836 107029254 142705672 214058508 231896717 285411344 428117016 463793434 695690151 856234032 927586868 1391380302 1855173736 2782760604 3710347472 5565521208 11131042416