Search a number
-
+
11141065116 = 22323758714249
BaseRepresentation
bin10100110000000111…
…10010100110011100
31001202102212202012100
422120003302212130
5140304103040431
65041303405100
7543041330256
oct123003624634
931672782170
1011141065116
1147a7928135
1221ab153790
13108721872c
14779910cd6
154531564e6
hex2980f299c

11141065116 has 72 divisors (see below), whose sum is σ = 28974582000. Its totient is φ = 3606909696.

The previous prime is 11141065099. The next prime is 11141065121. The reversal of 11141065116 is 61156014111.

11141065116 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 1 + 0 + 651 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11141065116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774760 + ... + 789008.

It is an arithmetic number, because the mean of its divisors is an integer number (402424750).

Almost surely, 211141065116 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 11141065116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487291000).

11141065116 is an abundant number, since it is smaller than the sum of its proper divisors (17833516884).

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

11141065116 is a wasteful number, since it uses less digits than its factorization.

11141065116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14883 (or 14878 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 11141065116 its reverse (61156014111), we get a palindrome (72297079227).

The spelling of 11141065116 in words is "eleven billion, one hundred forty-one million, sixty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 587 666 1174 1332 1761 2348 3522 5283 7044 10566 14249 21132 21719 28498 42747 43438 56996 65157 85494 86876 128241 130314 170988 195471 256482 260628 390942 512964 527213 781884 1054426 1581639 2108852 3163278 4744917 6326556 8364163 9489834 16728326 18979668 25092489 33456652 50184978 75277467 100369956 150554934 301109868 309474031 618948062 928422093 1237896124 1856844186 2785266279 3713688372 5570532558 11141065116