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2110221122020 = 22511193371149759
BaseRepresentation
bin11110101101010010111…
…110101111100111100100
321110201211221022222201121
4132231102332233213210
5234033213101401040
64253231110103324
7305313150404104
oct36552276574744
97421757288647
102110221122020
11743a378a0170
122a0b8494ab44
13123cba8025bb
14741c7193204
1539d59702c4a
hex1eb52faf9e4

2110221122020 has 96 divisors (see below), whose sum is σ = 5090306457600. Its totient is φ = 726745622400.

The previous prime is 2110221122017. The next prime is 2110221122033. The reversal of 2110221122020 is 202211220112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2110221121985 and 2110221122003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14015901 + ... + 14165659.

It is an arithmetic number, because the mean of its divisors is an integer number (53024025600).

Almost surely, 22110221122020 is an apocalyptic number.

2110221122020 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 2110221122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545153228800).

2110221122020 is an abundant number, since it is smaller than the sum of its proper divisors (2980085335580).

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

2110221122020 is a wasteful number, since it uses less digits than its factorization.

2110221122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153169 (or 153167 counting only the distinct ones).

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

Adding to 2110221122020 its reverse (202211220112), we get a palindrome (2312432342132).

The spelling of 2110221122020 in words is "two trillion, one hundred ten billion, two hundred twenty-one million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 3371 4180 6742 13484 16855 33710 37081 64049 67420 74162 128098 148324 149759 185405 256196 299518 320245 370810 599036 640490 704539 741620 748795 1280980 1409078 1497590 1647349 2818156 2845421 2995180 3294698 3522695 5690842 6589396 7045390 8236745 11381684 14090780 14227105 16473490 28454210 31299631 32946980 56908420 62599262 125198524 156498155 312996310 504837589 625992620 1009675178 2019350356 2524187945 5048375890 5553213479 9591914191 10096751780 11106426958 19183828382 22212853916 27766067395 38367656764 47959570955 55532134790 95919141910 105511056101 111064269580 191838283820 211022112202 422044224404 527555280505 1055110561010 2110221122020