Search a number
-
+
110213222022 = 237119321121
BaseRepresentation
bin110011010100100111…
…0000100111010000110
3101112110221121210000000
41212221032010322012
53301204041101042
6122344203502130
710651120634001
oct1465116047206
9345427553000
10110213222022
1142817543a62
121943a227946
13a515733497
145497648538
152d00bb474c
hex19a9384e86

110213222022 has 64 divisors (see below), whose sum is σ = 248161533120. Its totient is φ = 36705208320.

The previous prime is 110213222003. The next prime is 110213222051. The reversal of 110213222022 is 220222312011.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110213221986 and 110213222004.

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 31 ways as a sum of consecutive naturals, for example, 5207622 + ... + 5228742.

It is an arithmetic number, because the mean of its divisors is an integer number (3877523955).

Almost surely, 2110213222022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110213222022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124080766560).

110213222022 is an abundant number, since it is smaller than the sum of its proper divisors (137948311098).

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

110213222022 is an equidigital number, since it uses as much as digits as its factorization.

110213222022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22337 (or 22319 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 110213222022 its reverse (220222312011), we get a palindrome (330435534033).

The spelling of 110213222022 in words is "one hundred ten billion, two hundred thirteen million, two hundred twenty-two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1193 1458 2187 2386 3579 4374 7158 10737 21121 21474 32211 42242 63363 64422 96633 126726 190089 193266 289899 380178 570267 579798 869697 1140534 1710801 1739394 2609091 3421602 5132403 5218182 10264806 15397209 25197353 30794418 46191627 50394706 75592059 92383254 151184118 226776177 453552354 680328531 1360657062 2040985593 4081971186 6122956779 12245913558 18368870337 36737740674 55106611011 110213222022