Search a number
-
+
110332323312 = 2434372773529
BaseRepresentation
bin110011011000001010…
…0011010010111110000
3101112210020201202020220
41212300110122113300
53301430033321222
6122404100333040
710654065163041
oct1466024322760
9345706652226
10110332323312
11428787a1582
12194720a4180
13a534304313
1454a93ac8c8
152d0b38db5c
hex19b051a5f0

110332323312 has 80 divisors (see below), whose sum is σ = 292058807040. Its totient is φ = 35872252416.

The previous prime is 110332323301. The next prime is 110332323331. The reversal of 110332323312 is 213323233011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1463764 + ... + 1537292.

It is an arithmetic number, because the mean of its divisors is an integer number (3650735088).

Almost surely, 2110332323312 is an apocalyptic number.

110332323312 is a gapful number since it is divisible by the number (12) 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 110332323312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146029403520).

110332323312 is an abundant number, since it is smaller than the sum of its proper divisors (181726483728).

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

110332323312 is a wasteful number, since it uses less digits than its factorization.

110332323312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74310 (or 74304 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 110332323312 its reverse (213323233011), we get a palindrome (323655556323).

The spelling of 110332323312 in words is "one hundred ten billion, three hundred thirty-two million, three hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 727 1032 1454 2064 2181 2908 4362 5816 8724 11632 17448 31261 34896 62522 73529 93783 125044 147058 187566 220587 250088 294116 375132 441174 500176 588232 750264 882348 1176464 1500528 1764696 3161747 3529392 6323494 9485241 12646988 18970482 25293976 37940964 50587952 53455583 75881928 106911166 151763856 160366749 213822332 320733498 427644664 641466996 855289328 1282933992 2298590069 2565867984 4597180138 6895770207 9194360276 13791540414 18388720552 27583080828 36777441104 55166161656 110332323312