Search a number
-
+
110211111120 = 2435112310117971
BaseRepresentation
bin110011010100100011…
…0000001100011010000
3101112110210122112101110
41212221012001203100
53301203021023440
6122344050333320
710651063662525
oct1465106014320
9345423575343
10110211111120
1142816332010
121943958a240
13a515174726
14549725914c
152d008e9080
hex19a91818d0

110211111120 has 320 divisors, whose sum is σ = 392791431168. Its totient is φ = 25301760000.

The previous prime is 110211111107. The next prime is 110211111137. The reversal of 110211111120 is 21111112011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110211111096 and 110211111105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6123735 + ... + 6141705.

Almost surely, 2110211111120 is an apocalyptic number.

110211111120 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 110211111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196395715584).

110211111120 is an abundant number, since it is smaller than the sum of its proper divisors (282580320048).

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

110211111120 is a wasteful number, since it uses less digits than its factorization.

110211111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18122 (or 18116 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110211111120 its reverse (21111112011), we get a palindrome (131322223131).

The spelling of 110211111120 in words is "one hundred ten billion, two hundred eleven million, one hundred eleven thousand, one hundred twenty".