Search a number
-
+
110033100012 = 223112971404849
BaseRepresentation
bin110011001111001111…
…0111101110011101100
3101112000101200122001110
41212132132331303230
53300321433200022
6122314251112020
710643502626643
oct1463636756354
9345011618043
10110033100012
11427348a86a0
12193a9a42610
13a4b7318c04
14547b75c35a
152cdee8500c
hex199e7bdcec

110033100012 has 96 divisors (see below), whose sum is σ = 293823936000. Its totient is φ = 31740083200.

The previous prime is 110033099999. The next prime is 110033100013. The reversal of 110033100012 is 210001330011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (110033100013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69364 + ... + 474212.

It is an arithmetic number, because the mean of its divisors is an integer number (3060666000).

Almost surely, 2110033100012 is an apocalyptic number.

110033100012 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 110033100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146911968000).

110033100012 is an abundant number, since it is smaller than the sum of its proper divisors (183790835988).

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

110033100012 is a wasteful number, since it uses less digits than its factorization.

110033100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404967 (or 404965 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 110033100012 its reverse (210001330011), we get a palindrome (320034430023).

The spelling of 110033100012 in words is "one hundred ten billion, thirty-three million, one hundred thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 71 87 116 132 142 174 213 284 319 348 426 638 781 852 957 1276 1562 1914 2059 2343 3124 3828 4118 4686 6177 8236 9372 12354 22649 24708 45298 67947 90596 135894 271788 404849 809698 1214547 1619396 2429094 4453339 4858188 8906678 11740621 13360017 17813356 23481242 26720034 28744279 35221863 46962484 53440068 57488558 70443726 86232837 114977116 129146831 140887452 172465674 258293662 316187069 344931348 387440493 516587324 632374138 774880986 833584091 948561207 1264748276 1549761972 1667168182 1897122414 2500752273 3334336364 3794244828 5001504546 9169425001 10003009092 18338850002 27508275003 36677700004 55016550006 110033100012