Search a number
-
+
11231112240 = 243355199589
BaseRepresentation
bin10100111010110110…
…10010110000110000
31001222201022121122000
422131123102300300
5141000131042430
65054241414000
7545213610315
oct123533226060
931881277560
1011231112240
114843740947
12221533a300
13109ca85c5a
14787870d0c
1545aee1e60
hex29d6d2c30

11231112240 has 80 divisors (see below), whose sum is σ = 38684949600. Its totient is φ = 2994962688.

The previous prime is 11231112157. The next prime is 11231112241. The reversal of 11231112240 is 4221113211.

11231112240 is a `hidden beast` number, since 112 + 311 + 1 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×112311122402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11231112241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597635 + ... + 2601954.

It is an arithmetic number, because the mean of its divisors is an integer number (483561870).

Almost surely, 211231112240 is an apocalyptic number.

11231112240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11231112240 is an abundant number, since it is smaller than the sum of its proper divisors (27453837360).

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

11231112240 is a wasteful number, since it uses less digits than its factorization.

11231112240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199611 (or 5199599 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11231112240 its reverse (4221113211), we get a palindrome (15452225451).

The spelling of 11231112240 in words is "eleven billion, two hundred thirty-one million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5199589 10399178 15598767 20798356 25997945 31197534 41596712 46796301 51995890 62395068 77993835 83193424 93592602 103991780 124790136 140388903 155987670 187185204 207983560 233981505 249580272 280777806 311975340 374370408 415967120 467963010 561555612 623950680 701944515 748740816 935926020 1123111224 1247901360 1403889030 1871852040 2246222448 2807778060 3743704080 5615556120 11231112240