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2122021210224 = 2431731269931081
BaseRepresentation
bin11110111000010010010…
…100100000100001110000
321111212022022021120122110
4132320102110200201300
5234231344412211344
64302502035005320
7306211443451446
oct36702224404160
97455268246573
102122021210224
11748a4271a083
122a3318739840
1312514b411006
14749c6412b96
153a2ea6353b9
hex1ee12520870

2122021210224 has 160 divisors (see below), whose sum is σ = 5994002073600. Its totient is φ = 643997491200.

The previous prime is 2122021210213. The next prime is 2122021210259. The reversal of 2122021210224 is 4220121202212.

It is a self number, because there is not a number n which added to its sum of digits gives 2122021210224.

It is a congruent number.

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, 68258364 + ... + 68289444.

It is an arithmetic number, because the mean of its divisors is an integer number (37462512960).

Almost surely, 22122021210224 is an apocalyptic number.

2122021210224 is a gapful number since it is divisible by the number (24) 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 2122021210224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2997001036800).

2122021210224 is an abundant number, since it is smaller than the sum of its proper divisors (3871980863376).

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

2122021210224 is a wasteful number, since it uses less digits than its factorization.

2122021210224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33839 (or 33833 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2122021210224 its reverse (4220121202212), we get a palindrome (6342142412436).

The spelling of 2122021210224 in words is "two trillion, one hundred twenty-two billion, twenty-one million, two hundred ten thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 48 51 62 68 93 102 124 136 186 204 248 272 372 408 496 527 744 816 1054 1488 1581 2108 2699 3162 4216 5398 6324 8097 8432 10796 12648 16194 21592 25296 31081 32388 43184 45883 62162 64776 83669 91766 93243 124324 129552 137649 167338 183532 186486 248648 251007 275298 334676 367064 372972 497296 502014 528377 550596 669352 734128 745944 963511 1004028 1056754 1101192 1338704 1422373 1491888 1585131 1927022 2008056 2113508 2202384 2844746 2890533 3170262 3854044 4016112 4227016 4267119 5689492 5781066 6340524 7708088 8454032 8534238 11378984 11562132 12681048 15416176 16379687 17068476 22757968 23124264 25362096 32759374 34136952 46248528 49139061 65518748 68273904 83887619 98278122 131037496 167775238 196556244 251662857 262074992 335550476 393112488 503325714 671100952 786224976 1006651428 1342201904 1426089523 2013302856 2600516189 2852179046 4026605712 4278268569 5201032378 5704358092 7801548567 8556537138 10402064756 11408716184 15603097134 17113074276 20804129512 22817432368 31206194268 34226148552 41608259024 44208775213 62412388536 68452297104 88417550426 124824777072 132626325639 176835100852 265252651278 353670201704 530505302556 707340403408 1061010605112 2122021210224