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20222200100100 = 223521072392635879
BaseRepresentation
bin1001001100100010110010…
…00011011011010100000100
32122121020000220011010100210
410212101121003123110010
510122310031211200400
6111001541145235420
74155001653506535
oct446213103332404
978536026133323
1020222200100100
116497206845aa9
122327245a92b70
13b38c39a458cb
144dca8c8ca68c
1525105c2b2950
hex1264590db504

20222200100100 has 144 divisors (see below), whose sum is σ = 59303504332800. Its totient is φ = 5319834414720.

The previous prime is 20222200100077. The next prime is 20222200100117. The reversal of 20222200100100 is 100100222202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6353961 + ... + 8989839.

It is an arithmetic number, because the mean of its divisors is an integer number (411829891200).

Almost surely, 220222200100100 is an apocalyptic number.

20222200100100 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 20222200100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29651752166400).

20222200100100 is an abundant number, since it is smaller than the sum of its proper divisors (39081304232700).

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

20222200100100 is a wasteful number, since it uses less digits than its factorization.

20222200100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2636242 (or 2636235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20222200100100 its reverse (100100222202), we get a palindrome (20322300322302).

The spelling of 20222200100100 in words is "twenty trillion, two hundred twenty-two billion, two hundred million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 107 150 214 239 300 321 428 478 535 642 717 956 1070 1195 1284 1434 1605 2140 2390 2675 2868 3210 3585 4780 5350 5975 6420 7170 8025 10700 11950 14340 16050 17925 23900 25573 32100 35850 51146 71700 76719 102292 127865 153438 255730 306876 383595 511460 639325 767190 1278650 1534380 1917975 2557300 2635879 3835950 5271758 7671900 7907637 10543516 13179395 15815274 26358790 31630548 39538185 52717580 65896975 79076370 131793950 158152740 197690925 263587900 282039053 395381850 564078106 629975081 790763700 846117159 1128156212 1259950162 1410195265 1692234318 1889925243 2519900324 2820390530 3149875405 3384468636 3779850486 4230585795 5640781060 6299750810 7050976325 7559700972 8461171590 9449626215 12599501620 14101952650 15749377025 16922343180 18899252430 21152928975 28203905300 31498754050 37798504860 42305857950 47248131075 62997508100 67407333667 84611715900 94496262150 134814667334 188992524300 202222001001 269629334668 337036668335 404444002002 674073336670 808888004004 1011110005005 1348146673340 1685183341675 2022220010010 3370366683350 4044440020020 5055550025025 6740733366700 10111100050050 20222200100100