Search a number
-
+
110114422218 = 23317229467521
BaseRepresentation
bin110011010001101010…
…1001011110111001010
3101112020001201020011000
41212203111023313022
53301003243002333
6122330314115430
710645511100633
oct1464325136712
9345201636130
10110114422218
11427767a2229
121941111bb76
13a4cb120068
14548848a88a
152ce719a713
hex19a354bdca

110114422218 has 192 divisors, whose sum is σ = 269995939200. Its totient is φ = 33219164160.

The previous prime is 110114422217. The next prime is 110114422219. The reversal of 110114422218 is 812224411011.

110114422218 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 1 + 442 + 2 + 218 = 666.

It is an interprime number because it is at equal distance from previous prime (110114422217) and next prime (110114422219).

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

It is a junction number, because it is equal to n+sod(n) for n = 110114422191 and 110114422200.

It is not an unprimeable number, because it can be changed into a prime (110114422217) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 211351798 + ... + 211352318.

It is an arithmetic number, because the mean of its divisors is an integer number (1406228850).

Almost surely, 2110114422218 is an apocalyptic number.

110114422218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110114422218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134997969600).

110114422218 is an abundant number, since it is smaller than the sum of its proper divisors (159881516982).

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

110114422218 is a wasteful number, since it uses less digits than its factorization.

110114422218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

Adding to 110114422218 its reverse (812224411011), we get a palindrome (922338833229).

The spelling of 110114422218 in words is "one hundred ten billion, one hundred fourteen million, four hundred twenty-two thousand, two hundred eighteen".