Search a number
-
+
110533641156 = 2232554112
BaseRepresentation
bin110011011110001010…
…0011000001111000100
3101120022021112202102100
41212330110120033010
53302333103004111
6122440051312100
710662061306401
oct1467424301704
9346267482370
10110533641156
11429713a4664
12195095ab630
13a566c303c3
1454c80152a8
152d1dda8756
hex19bc5183c4

110533641156 has 27 divisors (see below), whose sum is σ = 279409524303. Its totient is φ = 36843882120.

The previous prime is 110533641151. The next prime is 110533641191. The reversal of 110533641156 is 651146335011.

The square root of 110533641156 is 332466.

It is a perfect power (a square), and thus also a powerful number.

110533641156 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 3 + 3 + 641 + 1 + 5 + 6 = 666.

110533641156 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 110533641156.

It is not an unprimeable number, because it can be changed into a prime (110533641151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1967091 + ... + 2022501.

Almost surely, 2110533641156 is an apocalyptic number.

110533641156 is the 332466-th square number.

It is an amenable number.

110533641156 is an abundant number, since it is smaller than the sum of its proper divisors (168875883147).

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

110533641156 is an frugal number, since it uses more digits than its factorization.

110533641156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110832 (or 55416 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Multiplying 110533641156 by its sum of digits (36), we get a square (3979211081616 = 19947962).

110533641156 divided by its sum of digits (36) gives a square (3070378921 = 554112).

Adding to 110533641156 its reverse (651146335011), we get a palindrome (761679976167).

It can be divided in two parts, 110533 and 641156, that added together give a square (751689 = 8672).

The spelling of 110533641156 in words is "one hundred ten billion, five hundred thirty-three million, six hundred forty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 55411 110822 166233 221644 332466 498699 664932 997398 1994796 3070378921 6140757842 9211136763 12281515684 18422273526 27633410289 36844547052 55266820578 110533641156