Search a number
-
+
110223213120 = 26325313761547
BaseRepresentation
bin110011010100111010…
…0001100001001000000
3101112111122102101012200
41212221310030021000
53301214120304440
6122345201553200
710651301565366
oct1465164141100
9345448371180
10110223213120
1142822148469
1219441645800
13a517820c87
145498ac9636
152d019d9c30
hex19a9d0c240

110223213120 has 672 divisors, whose sum is σ = 409264567296. Its totient is φ = 27172454400.

The previous prime is 110223213119. The next prime is 110223213131. The reversal of 110223213120 is 21312322011.

110223213120 is a `hidden beast` number, since 1 + 10 + 22 + 321 + 312 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 110223213093 and 110223213102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201504687 + ... + 201505233.

Almost surely, 2110223213120 is an apocalyptic number.

110223213120 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 110223213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204632283648).

110223213120 is an abundant number, since it is smaller than the sum of its proper divisors (299041354176).

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

110223213120 is a wasteful number, since it uses less digits than its factorization.

110223213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 110223213120 its reverse (21312322011), we get a palindrome (131535535131).

The spelling of 110223213120 in words is "one hundred ten billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred twenty".