Search a number
-
+
11109124512 = 253313019883
BaseRepresentation
bin10100101100010011…
…11100100110100000
31001200012202222221000
422112021330212200
5140222413441022
65034203032000
7542203000053
oct122611744640
931605688830
1011109124512
1147908a1742
1221a050b600
131080714375
14775598a9a
154504476ac
hex29627c9a0

11109124512 has 96 divisors (see below), whose sum is σ = 32429799360. Its totient is φ = 3699820800.

The previous prime is 11109124493. The next prime is 11109124513. The reversal of 11109124512 is 21542190111.

11109124512 is a `hidden beast` number, since 11 + 10 + 9 + 124 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11109124513) 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, 1119123 + ... + 1129005.

It is an arithmetic number, because the mean of its divisors is an integer number (337810410).

Almost surely, 211109124512 is an apocalyptic number.

11109124512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109124512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214899680).

11109124512 is an abundant number, since it is smaller than the sum of its proper divisors (21320674848).

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

11109124512 is a wasteful number, since it uses less digits than its factorization.

11109124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11203 (or 11189 counting only the distinct ones).

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

The spelling of 11109124512 in words is "eleven billion, one hundred nine million, one hundred twenty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1301 2602 3903 5204 7806 9883 10408 11709 15612 19766 20816 23418 29649 31224 35127 39532 41632 46836 59298 62448 70254 79064 88947 93672 118596 124896 140508 158128 177894 187344 237192 266841 281016 316256 355788 374688 474384 533682 562032 711576 948768 1067364 1124064 1423152 2134728 2846304 4269456 8538912 12857783 25715566 38573349 51431132 77146698 102862264 115720047 154293396 205724528 231440094 308586792 347160141 411449056 462880188 617173584 694320282 925760376 1234347168 1388640564 1851520752 2777281128 3703041504 5554562256 11109124512