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210202102020220 = 2251917320047159499
BaseRepresentation
bin101111110010110101111101…
…100111110011100001111100
31000120021010100220110200112221
4233302311331213303201330
5210022422401104121340
62023021302414135124
762163413020546012
oct5762657547634174
91016233326420487
10210202102020220
1160a822356a6462
121b6aa6aa7b14a4
139039c86080acb
1439c9b9c0888b2
151947c8bc6c44a
hexbf2d7d9f387c

210202102020220 has 96 divisors (see below), whose sum is σ = 467369400960000. Its totient is φ = 79190649817344.

The previous prime is 210202102020203. The next prime is 210202102020349. The reversal of 210202102020220 is 22020201202012.

It is a junction number, because it is equal to n+sod(n) for n = 210202102020194 and 210202102020203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1317810031 + ... + 1317969529.

It is an arithmetic number, because the mean of its divisors is an integer number (4868431260000).

Almost surely, 2210202102020220 is an apocalyptic number.

210202102020220 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 210202102020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233684700480000).

210202102020220 is an abundant number, since it is smaller than the sum of its proper divisors (257167298939780).

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

210202102020220 is a wasteful number, since it uses less digits than its factorization.

210202102020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179747 (or 179745 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 210202102020220 its reverse (22020201202012), we get a palindrome (232222303222232).

The spelling of 210202102020220 in words is "two hundred ten trillion, two hundred two billion, one hundred two million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 173 190 346 380 692 865 1730 3287 3460 6574 13148 16435 20047 32870 40094 65740 80188 100235 159499 200470 318998 380893 400940 637996 761786 797495 1523572 1594990 1904465 3030481 3189980 3468131 3808930 6060962 6936262 7617860 12121924 13872524 15152405 17340655 27593327 30304810 34681310 55186654 60609620 65894489 69362620 110373308 131788978 137966635 263577956 275933270 329472445 524273213 551866540 658944890 1048546426 1317889780 2097092852 2621366065 3197476453 5242732130 6394952906 10485464260 12789905812 15987382265 31974764530 60752052607 63949529060 121504105214 243008210428 303760263035 553163426369 607520526070 1106326852738 1215041052140 2212653705476 2765817131845 5531634263690 10510105101011 11063268527380 21020210202022 42040420404044 52550525505055 105101051010110 210202102020220