Search a number
-
+
110110222002 = 23113746397387
BaseRepresentation
bin110011010001100010…
…1001010011010110010
3101112012202210211112110
41212203011022122302
53301001204101002
6122330044110150
710645430305254
oct1464305123262
9345182724473
10110110222002
1142774393580
121940b835356
13a4ca2ac321
145487ab5cd4
152ce6b1ae6c
hex19a314a6b2

110110222002 has 64 divisors (see below), whose sum is σ = 247268911104. Its totient is φ = 32394479040.

The previous prime is 110110221971. The next prime is 110110222009. The reversal of 110110222002 is 200222011011.

It is not an unprimeable number, because it can be changed into a prime (110110222009) 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 31 ways as a sum of consecutive naturals, for example, 1081953 + ... + 1179339.

It is an arithmetic number, because the mean of its divisors is an integer number (3863576736).

Almost surely, 2110110222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110110222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123634455552).

110110222002 is an abundant number, since it is smaller than the sum of its proper divisors (137158689102).

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

110110222002 is a wasteful number, since it uses less digits than its factorization.

110110222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97903.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 110110222002 its reverse (200222011011), we get a palindrome (310332233013).

The spelling of 110110222002 in words is "one hundred ten billion, one hundred ten million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 463 814 926 1221 1389 2442 2778 5093 10186 15279 17131 30558 34262 51393 97387 102786 188441 194774 292161 376882 565323 584322 1071257 1130646 2142514 3213771 3603319 6427542 7206638 10809957 21619914 39636509 45090181 79273018 90180362 118909527 135270543 237819054 270541086 495991991 991983982 1487975973 1668336697 2975951946 3336673394 5005010091 10010020182 18351703667 36703407334 55055111001 110110222002