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110022132220 = 225711213499601
BaseRepresentation
bin110011001110111010…
…1001000000111111100
3101111222122001102001221
41212131311020013330
53300311131212340
6122313220043124
710643310456610
oct1463565100774
9344878042057
10110022132220
1142729697400
12193a62334a4
13a4b4c789b0
14547a105340
152cde01a44a
hex199dd481fc

110022132220 has 144 divisors (see below), whose sum is σ = 312566998464. Its totient is φ = 31654656000.

The previous prime is 110022132151. The next prime is 110022132323. The reversal of 110022132220 is 22231220011.

It is a happy number.

It is a super-3 number, since 3×1100221322203 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110022132194 and 110022132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29581 + ... + 470020.

It is an arithmetic number, because the mean of its divisors is an integer number (2170604156).

Almost surely, 2110022132220 is an apocalyptic number.

110022132220 is a gapful number since it is divisible by the number (10) 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 110022132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156283499232).

110022132220 is an abundant number, since it is smaller than the sum of its proper divisors (202544866244).

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

110022132220 is a wasteful number, since it uses less digits than its factorization.

110022132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499652 (or 499639 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 110022132220 its reverse (22231220011), we get a palindrome (132253352231).

It can be divided in two parts, 110022 and 132220, that added together give a palindrome (242242).

The spelling of 110022132220 in words is "one hundred ten billion, twenty-two million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 121 130 140 143 154 182 220 242 260 286 308 364 385 455 484 572 605 715 770 847 910 1001 1210 1430 1540 1573 1694 1820 2002 2420 2860 3146 3388 4004 4235 5005 6292 7865 8470 10010 11011 15730 16940 20020 22022 31460 44044 55055 110110 220220 499601 999202 1998404 2498005 3497207 4996010 5495611 6494813 6994414 9992020 10991222 12989626 13988828 17486035 21982444 25979252 27478055 32474065 34972070 38469277 45463691 54956110 60451721 64948130 69944140 71442943 76938554 90927382 109912220 120903442 129896260 142885886 153877108 181854764 192346385 227318455 241806884 285771772 302258605 357214715 384692770 423162047 454636910 500100601 604517210 714429430 769385540 785872373 846324094 909273820 1000201202 1209034420 1428858860 1571744746 1692648188 2000402404 2115810235 2500503005 3143489492 3929361865 4231620470 5001006010 5501106611 7858723730 8463240940 10002012020 11002213222 15717447460 22004426444 27505533055 55011066110 110022132220