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202122000110000 = 2454122819164569
BaseRepresentation
bin101101111101010000110010…
…000001001001000110110000
3222111122200012201012122011002
4231331100302001021012300
5202443031324012010000
61553513322012141132
760400555404535505
oct5575206201110660
9874580181178132
10202122000110000
1159447505830523
121a804720a677a8
1388a203b1c2a49
1437caa853034ac
1518579cc9078d5
hexb7d4320491b0

202122000110000 has 100 divisors (see below), whose sum is σ = 489364532441400. Its totient is φ = 80847650496000.

The previous prime is 202122000109999. The next prime is 202122000110011. The reversal of 202122000110000 is 11000221202.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1228107716 + ... + 1228272284.

It is an arithmetic number, because the mean of its divisors is an integer number (4893645324414).

Almost surely, 2202122000110000 is an apocalyptic number.

202122000110000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202122000110000 is an abundant number, since it is smaller than the sum of its proper divisors (287242532331400).

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

202122000110000 is a wasteful number, since it uses less digits than its factorization.

202122000110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287416 (or 287395 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202122000110000 its reverse (11000221202), we get a palindrome (202133000331202).

The spelling of 202122000110000 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 122819 164569 245638 329138 491276 614095 658276 822845 982552 1228190 1316552 1645690 1965104 2456380 2633104 3070475 3291380 4114225 4912760 6140950 6582760 8228450 9825520 12281900 13165520 15352375 16456900 20571125 24563800 30704750 32913800 41142250 49127600 61409500 65827600 76761875 82284500 102855625 122819000 153523750 164569000 205711250 245638000 307047500 329138000 411422500 614095000 822845000 1228190000 1645690000 20212200011 40424400022 80848800044 101061000055 161697600088 202122000110 323395200176 404244000220 505305000275 808488000440 1010610000550 1616976000880 2021220001100 2526525001375 4042440002200 5053050002750 8084880004400 10106100005500 12632625006875 20212200011000 25265250013750 40424400022000 50530500027500 101061000055000 202122000110000