Search a number
-
+
110222210020 = 225135360113309
BaseRepresentation
bin110011010100111000…
…0010111001111100100
3101112111120112102012211
41212221300113033210
53301213341210040
6122345124253204
710651260220036
oct1465160271744
9345446472184
10110222210020
114282162285a
1219441241204
13a51755c520
145498907c56
152d0188c8ea
hex19a9c173e4

110222210020 has 96 divisors (see below), whose sum is σ = 254416710240. Its totient is φ = 39860121600.

The previous prime is 110222210011. The next prime is 110222210041. The reversal of 110222210020 is 20012222011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 46508372964 + 63713837056 = 215658^2 + 252416^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8275126 + ... + 8288434.

It is an arithmetic number, because the mean of its divisors is an integer number (2650174065).

Almost surely, 2110222210020 is an apocalyptic number.

110222210020 is a gapful number since it is divisible by the number (10) 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 110222210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127208355120).

110222210020 is an abundant number, since it is smaller than the sum of its proper divisors (144194500220).

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

110222210020 is a wasteful number, since it uses less digits than its factorization.

110222210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13985 (or 13983 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 110222210020 its reverse (20012222011), we get a palindrome (130234432031).

The spelling of 110222210020 in words is "one hundred ten billion, two hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 601 689 1060 1202 1378 2404 2756 3005 3445 6010 6890 7813 12020 13309 13780 15626 26618 31252 31853 39065 53236 63706 66545 78130 127412 133090 156260 159265 173017 266180 318530 346034 414089 637060 692068 705377 828178 865085 1410754 1656356 1730170 2070445 2821508 3460340 3526885 4140890 7053770 7998709 8281780 9169901 14107540 15997418 18339802 31994836 36679604 39993545 45849505 79987090 91699010 103983217 159974180 183398020 207966434 415932868 423931577 519916085 847863154 1039832170 1695726308 2079664340 2119657885 4239315770 5511110501 8478631540 11022221002 22044442004 27555552505 55111105010 110222210020