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210202200020000 = 255447059223339
BaseRepresentation
bin101111110010110110000011…
…011101101001010000100000
31000120021010121201212120222102
4233302312003131221100200
5210022423101201120000
62023021320234425532
762163415320540446
oct5762660335512040
91016233551776872
10210202200020000
1160a82285a51111
121b6aa7175922a8
139039ca0474046
1439c9bab0b8b96
151947c956793d5
hexbf2d83769420

210202200020000 has 120 divisors (see below), whose sum is σ = 517142246821200. Its totient is φ = 84078716832000.

The previous prime is 210202200019993. The next prime is 210202200020003. The reversal of 210202200020000 is 20002202012.

It is a super-3 number, since 3×2102022000200003 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (210202200020003) 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 19 ways as a sum of consecutive naturals, for example, 941068331 + ... + 941291669.

It is an arithmetic number, because the mean of its divisors is an integer number (4309518723510).

Almost surely, 2210202200020000 is an apocalyptic number.

210202200020000 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 210202200020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258571123410600).

210202200020000 is an abundant number, since it is smaller than the sum of its proper divisors (306940046801200).

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

210202200020000 is an equidigital number, since it uses as much as digits as its factorization.

210202200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270428 (or 270405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 210202200020000 its reverse (20002202012), we get a palindrome (210222202222012).

The spelling of 210202200020000 in words is "two hundred ten trillion, two hundred two billion, two hundred million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 20000 47059 94118 188236 223339 235295 376472 446678 470590 752944 893356 941180 1116695 1176475 1505888 1786712 1882360 2233390 2352950 3573424 3764720 4466780 4705900 5583475 5882375 7146848 7529440 8933560 9411800 11166950 11764750 17867120 18823600 22333900 23529500 27917375 29411875 35734240 37647200 44667800 47059000 55834750 58823750 89335600 94118000 111669500 117647500 139586875 178671200 188236000 223339000 235295000 279173750 446678000 470590000 558347500 893356000 941180000 1116695000 2233390000 4466780000 10510110001 21020220002 42040440004 52550550005 84080880008 105101100010 168161760016 210202200020 262752750025 336323520032 420404400040 525505500050 840808800080 1051011000100 1313763750125 1681617600160 2102022000200 2627527500250 4204044000400 5255055000500 6568818750625 8408088000800 10510110001000 13137637501250 21020220002000 26275275002500 42040440004000 52550550005000 105101100010000 210202200020000