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20220222120112 = 2472196772005061
BaseRepresentation
bin1001001100011111000110…
…01010000010000010110000
32122121000221001020022220201
410212033203022002002300
510122242003330320422
6111001013010244544
74154601645116200
oct446174312020260
978530831208821
1020220222120112
1164963912793a3
122326993586754
13b389b300b251
144dc941d24400
15250e937ee727
hex1263e32820b0

20220222120112 has 120 divisors (see below), whose sum is σ = 48042328152240. Its totient is φ = 8197583546880.

The previous prime is 20220222120083. The next prime is 20220222120151. The reversal of 20220222120112 is 21102122202202.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 20220222120112.

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 23 ways as a sum of consecutive naturals, for example, 9082062 + ... + 11087122.

It is an arithmetic number, because the mean of its divisors is an integer number (400352734602).

Almost surely, 220220222120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20220222120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24021164076120).

20220222120112 is an abundant number, since it is smaller than the sum of its proper divisors (27822106032128).

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

20220222120112 is a wasteful number, since it uses less digits than its factorization.

20220222120112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2005779 (or 2005766 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 20220222120112 its reverse (21102122202202), we get a palindrome (41322344322314).

The spelling of 20220222120112 in words is "twenty trillion, two hundred twenty billion, two hundred twenty-two million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 392 532 677 784 931 1064 1354 1862 2128 2708 3724 4739 5416 7448 9478 10832 12863 14896 18956 25726 33173 37912 51452 66346 75824 90041 102904 132692 180082 205808 265384 360164 530768 630287 720328 1260574 1440656 2005061 2521148 4010122 5042296 8020244 10084592 14035427 16040488 28070854 32080976 38096159 56141708 76192318 98247989 112283416 152384636 196495978 224566832 266673113 304769272 392991956 533346226 609538544 785983912 1066692452 1357426297 1571967824 1866711791 2133384904 2714852594 3733423582 4266769808 5429705188 7466847164 9501984079 10859410376 14933694328 19003968158 21718820752 25791099643 29867388656 38007936316 51582199286 66513888553 76015872632 103164398572 133027777106 152031745264 180537697501 206328797144 266055554212 361075395002 412657594288 532111108424 722150790004 1064222216848 1263763882507 1444301580008 2527527765014 2888603160016 5055055530028 10110111060056 20220222120112