Search a number
-
+
110623242240 = 21136572973
BaseRepresentation
bin110011100000110101…
…0001011100000000000
3101120112112010222000000
41213001222023200000
53303024022222430
6122453012000000
710664230021140
oct1470152134000
9346475128000
10110623242240
1142a07a33245
1219533600000
13a57c6728b4
1454d5c9a920
152d26ba6e60
hex19c1a8b800

110623242240 has 1344 divisors, whose sum is σ = 476944977600. Its totient is φ = 24078974976.

The previous prime is 110623242227. The next prime is 110623242241. The reversal of 110623242240 is 42242326011.

110623242240 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 232 + 422 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110623242241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1515386844 + ... + 1515386916.

It is an arithmetic number, because the mean of its divisors is an integer number (354869775).

Almost surely, 2110623242240 is an apocalyptic number.

110623242240 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 110623242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238472488800).

110623242240 is an abundant number, since it is smaller than the sum of its proper divisors (366321735360).

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

110623242240 is an frugal number, since it uses more digits than its factorization.

110623242240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 110623242240 its reverse (42242326011), we get a palindrome (152865568251).

The spelling of 110623242240 in words is "one hundred ten billion, six hundred twenty-three million, two hundred forty-two thousand, two hundred forty".