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22110200220100 = 2252415399998839
BaseRepresentation
bin1010000011011111011101…
…01000010100100111000100
32220021201021212110120100011
411001233232220110213010
510344223142224020400
6115005141420200004
74441260241652326
oct501575650244704
986251255416304
1022110200220100
117054979681293
122591131399004
13c44ca1678525
145661d472d616
1528520c80a8ba
hex141beea149c4

22110200220100 has 72 divisors (see below), whose sum is σ = 49158509904000. Its totient is φ = 8626764038400.

The previous prime is 22110200220079. The next prime is 22110200220137. The reversal of 22110200220100 is 102200201122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21636481 + ... + 22635319.

It is an arithmetic number, because the mean of its divisors is an integer number (682757082000).

Almost surely, 222110200220100 is an apocalyptic number.

22110200220100 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 22110200220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24579254952000).

22110200220100 is an abundant number, since it is smaller than the sum of its proper divisors (27048309683900).

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

22110200220100 is a wasteful number, since it uses less digits than its factorization.

22110200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004293 (or 1004286 counting only the distinct ones).

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

Adding to 22110200220100 its reverse (102200201122), we get a palindrome (22212400421222).

The spelling of 22110200220100 in words is "twenty-two trillion, one hundred ten billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 5399 10798 21596 26995 53990 107980 134975 221359 269950 442718 539900 885436 998839 1106795 1997678 2213590 3995356 4427180 4994195 5533975 9988390 11067950 19976780 22135900 24970975 40952399 49941950 81904798 99883900 163809596 204761995 409523990 819047980 1023809975 2047619950 4095239900 5392731761 10785463522 21570927044 26963658805 53927317610 107854635220 134818294025 221102002201 269636588050 442204004402 539273176100 884408008804 1105510011005 2211020022010 4422040044020 5527550055025 11055100110050 22110200220100