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22022021110120 = 2352926975793229
BaseRepresentation
bin1010000000111011001101…
…01111101101100101101000
32212222021200111220122201221
411000131212233231211220
510341302044401010440
6114500435443551424
74432016132620123
oct500354657554550
985867614818657
1022022021110120
117020539892889
12257802238b574
13c3988ab7b885
14561c2b5c53ba
15282c9b261d4a
hex140766bed968

22022021110120 has 128 divisors (see below), whose sum is σ = 51517219860000. Its totient is φ = 8462154903552.

The previous prime is 22022021110097. The next prime is 22022021110129. The reversal of 22022021110120 is 2101112022022.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2957113579876 + 19064907530244 = 1719626^2 + 4366338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22022021110094 and 22022021110103.

It is not an unprimeable number, because it can be changed into a prime (22022021110129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236167666 + ... + 236260894.

Almost surely, 222022021110120 is an apocalyptic number.

22022021110120 is a gapful number since it is divisible by the number (20) 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 22022021110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25758609930000).

22022021110120 is an abundant number, since it is smaller than the sum of its proper divisors (29495198749880).

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

22022021110120 is a wasteful number, since it uses less digits than its factorization.

22022021110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94295 (or 94291 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22022021110120 its reverse (2101112022022), we get a palindrome (24123133132142).

The spelling of 22022021110120 in words is "twenty-two trillion, twenty-two billion, twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 269 290 538 580 757 1076 1160 1345 1514 2152 2690 3028 3785 5380 6056 7570 7801 10760 15140 15602 21953 30280 31204 39005 43906 62408 78010 87812 93229 109765 156020 175624 186458 203633 219530 312040 372916 407266 439060 466145 745832 814532 878120 932290 1018165 1629064 1864580 2036330 2703641 3729160 4072660 5407282 5905357 8145320 10814564 11810714 13518205 21629128 23621428 25078601 27036410 29526785 47242856 50157202 54072820 59053570 70574353 100314404 108145640 118107140 125393005 141148706 200628808 236214280 250786010 282297412 352871765 501572020 564594824 705743530 727279429 1003144040 1411487060 1454558858 2046656237 2822974120 2909117716 3636397145 4093312474 5818235432 7272794290 8186624948 10233281185 14545588580 16373249896 18984500957 20466562370 29091177160 37969001914 40933124740 75938003828 81866249480 94922504785 151876007656 189845009570 379690019140 550550527753 759380038280 1101101055506 2202202111012 2752752638765 4404404222024 5505505277530 11011010555060 22022021110120