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20222010320100 = 22352449584925667
BaseRepresentation
bin1001001100100010011011…
…01111011110010011100100
32122121012112200001022010220
410212101031233132103210
510122304134120220400
6111001510245444340
74154664160426221
oct446211557362344
978535480038126
1020222010320100
116497119703526
1223271b24106b0
13b38c09629354
144dca71608948
1525104a7c67a0
hex12644dbde4e4

20222010320100 has 144 divisors (see below), whose sum is σ = 58651636680000. Its totient is φ = 5379396485120.

The previous prime is 20222010320011. The next prime is 20222010320107. The reversal of 20222010320100 is 102301022202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20222010320100.

It is not an unprimeable number, because it can be changed into a prime (20222010320107) 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 47 ways as a sum of consecutive naturals, for example, 787847467 + ... + 787873133.

It is an arithmetic number, because the mean of its divisors is an integer number (407303032500).

Almost surely, 220222010320100 is an apocalyptic number.

20222010320100 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 20222010320100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29325818340000).

20222010320100 is an abundant number, since it is smaller than the sum of its proper divisors (38429626359900).

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

20222010320100 is a wasteful number, since it uses less digits than its factorization.

20222010320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31982 (or 31975 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 20222010320100 its reverse (102301022202), we get a palindrome (20324311342302).

The spelling of 20222010320100 in words is "twenty trillion, two hundred twenty-two billion, ten million, three hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 449 898 1347 1796 2245 2694 4490 5388 5849 6735 8980 11225 11698 13470 17547 22450 23396 25667 26940 29245 33675 35094 44900 51334 58490 67350 70188 77001 87735 102668 116980 128335 134700 146225 154002 175470 256670 292450 308004 350940 385005 438675 513340 584900 641675 770010 877350 1283350 1540020 1754700 1925025 2566700 2626201 3850050 5252402 7700100 7878603 10504804 11524483 13131005 15757206 23048966 26262010 31514412 34573449 39393015 46097932 52524020 57622415 65655025 69146898 78786030 115244830 131310050 138293796 150126283 157572060 172867245 196965075 230489660 262620100 288112075 300252566 345734490 393930150 450378849 576224150 600505132 691468980 750631415 787860300 864336225 900757698 1152448300 1501262830 1728672450 1801515396 2251894245 3002525660 3457344900 3753157075 4503788490 7506314150 9007576980 11259471225 15012628300 22518942450 45037884900 67406701067 134813402134 202220103201 269626804268 337033505335 404440206402 674067010670 808880412804 1011100516005 1348134021340 1685167526675 2022201032010 3370335053350 4044402064020 5055502580025 6740670106700 10111005160050 20222010320100