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20021020212100 = 225217196110161407
BaseRepresentation
bin1001000110101100000011…
…10011000011101110000100
32121212222202022200220210211
410203112001303003232010
510111011022133241400
6110325310230125204
74134320354621035
oct443260163035604
977788668626724
1020021020212100
116419959a65556
1222b425b1b0804
13b22c8815466b
144d3045c32a8c
1524abd5476dba
hex123581cc3b84

20021020212100 has 144 divisors (see below), whose sum is σ = 49216169963520. Its totient is φ = 7023563827200.

The previous prime is 20021020212091. The next prime is 20021020212101. The reversal of 20021020212100 is 121202012002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20021020212101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3110404 + ... + 7051003.

It is an arithmetic number, because the mean of its divisors is an integer number (341778958080).

Almost surely, 220021020212100 is an apocalyptic number.

20021020212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021020212100 is an abundant number, since it is smaller than the sum of its proper divisors (29195149751420).

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

20021020212100 is a wasteful number, since it uses less digits than its factorization.

20021020212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10161518 (or 10161511 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021020212100 its reverse (121202012002), we get a palindrome (20142222224102).

The spelling of 20021020212100 in words is "twenty trillion, twenty-one billion, twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 61 68 76 85 95 100 122 170 190 244 305 323 340 380 425 475 610 646 850 950 1037 1159 1220 1292 1525 1615 1700 1900 2074 2318 3050 3230 4148 4636 5185 5795 6100 6460 8075 10370 11590 16150 19703 20740 23180 25925 28975 32300 39406 51850 57950 78812 98515 103700 115900 197030 394060 492575 985150 1970300 10161407 20322814 40645628 50807035 101614070 172743919 193066733 203228140 254035175 345487838 386133466 508070350 619845827 690975676 772266932 863719595 965333665 1016140700 1239691654 1727439190 1930667330 2479383308 3099229135 3282134461 3454878380 3861334660 4318597975 4826668325 6198458270 6564268922 8637195950 9653336650 10537379059 11777070713 12396916540 13128537844 15496145675 16410672305 17274391900 19306673300 21074758118 23554141426 30992291350 32821344610 42149516236 47108282852 52686895295 58885353565 61984582700 65642689220 82053361525 105373790590 117770707130 164106723050 200210202121 210747581180 235541414260 263434476475 294426767825 328213446100 400420404242 526868952950 588853535650 800840808484 1001051010605 1053737905900 1177707071300 2002102021210 4004204042420 5005255053025 10010510106050 20021020212100