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110332440042 = 23112924014957
BaseRepresentation
bin110011011000001010…
…0110110110111101010
3101112210020221200101020
41212300110312313222
53301430101040132
6122404103033310
710654066160256
oct1466024666752
9345706850336
10110332440042
1142878871250
121947213b836
13a5343454a6
1454a93dd266
152d0b3b352c
hex19b0536dea

110332440042 has 96 divisors (see below), whose sum is σ = 249984581184. Its totient is φ = 32194176000.

The previous prime is 110332439983. The next prime is 110332440047. The reversal of 110332440042 is 240044233011.

It is a junction number, because it is equal to n+sod(n) for n = 110332439994 and 110332440021.

It is not an unprimeable number, because it can be changed into a prime (110332440047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22255428 + ... + 22260384.

It is an arithmetic number, because the mean of its divisors is an integer number (2604006054).

Almost surely, 2110332440042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110332440042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992290592).

110332440042 is an abundant number, since it is smaller than the sum of its proper divisors (139652141142).

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

110332440042 is a wasteful number, since it uses less digits than its factorization.

110332440042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5432 (or 5403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 110332440042 its reverse (240044233011), we get a palindrome (350376673053).

The spelling of 110332440042 in words is "one hundred ten billion, three hundred thirty-two million, four hundred forty thousand, forty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 401 638 802 841 957 1203 1682 1914 2406 2523 4411 4957 5046 8822 9251 9914 11629 13233 14871 18502 23258 26466 27753 29742 34887 54527 55506 69774 109054 127919 143753 163581 255838 287506 327162 337241 383757 431259 674482 767514 862518 1011723 1581283 1987757 2023446 3162566 3709651 3975514 4168837 4743849 5963271 7419302 8337674 9487698 11128953 11926542 12506511 21865327 22257906 25013022 43730654 45857207 57644953 65595981 91714414 115289906 131191962 137571621 172934859 275143242 345869718 634094483 1268188966 1671703637 1902283449 3343407274 3804566898 5015110911 10030221822 18388740007 36777480014 55166220021 110332440042