Search a number
-
+
11134012120 = 2357113614939
BaseRepresentation
bin10100101111010001…
…11000101011011000
31001201221121102022021
422113220320223120
5140300301341440
65040452304224
7542624353510
oct122750705330
931657542267
1011134012120
1147a3950110
1221a8912074
13108591936a
147789d6840
1545271184a
hex297a38ad8

11134012120 has 64 divisors (see below), whose sum is σ = 31233081600. Its totient is φ = 3470340480.

The previous prime is 11134012093. The next prime is 11134012121. The reversal of 11134012120 is 2121043111.

11134012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11134012094 and 11134012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134012121) 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 15 ways as a sum of consecutive naturals, for example, 1804390 + ... + 1810549.

It is an arithmetic number, because the mean of its divisors is an integer number (488016900).

Almost surely, 211134012120 is an apocalyptic number.

11134012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134012120 is an abundant number, since it is smaller than the sum of its proper divisors (20099069480).

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

11134012120 is a wasteful number, since it uses less digits than its factorization.

11134012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614968 (or 3614964 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11134012120 its reverse (2121043111), we get a palindrome (13255055231).

The spelling of 11134012120 in words is "eleven billion, one hundred thirty-four million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 616 770 1540 3080 3614939 7229878 14459756 18074695 25304573 28919512 36149390 39764329 50609146 72298780 79528658 101218292 126522865 144597560 159057316 198821645 202436584 253045730 278350303 318114632 397643290 506091460 556700606 795286580 1012182920 1113401212 1391751515 1590573160 2226802424 2783503030 5567006060 11134012120