Search a number
-
+
222100122201100 = 2252111326957737833
BaseRepresentation
bin110010011111111110110110…
…111000110110110000001100
31002010101120020101112012211121
4302133332312320312300030
5213102342022240413400
62104211215414530324
764532130034452433
oct6237766670666014
91063346211465747
10222100122201100
116484a150931810
1220ab05a96669a4
1396c0c4aa31450
143cbb9bbac211a
151aa2501c2a21a
hexc9ffb6e36c0c

222100122201100 has 144 divisors (see below), whose sum is σ = 568320428602080. Its totient is φ = 74273947084800.

The previous prime is 222100122201059. The next prime is 222100122201103. The reversal of 222100122201100 is 1102221001222.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (222100122201103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25022217 + ... + 32715616.

It is an arithmetic number, because the mean of its divisors is an integer number (3946669643070).

Almost surely, 2222100122201100 is an apocalyptic number.

222100122201100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222100122201100 is an abundant number, since it is smaller than the sum of its proper divisors (346220306400980).

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

222100122201100 is a wasteful number, since it uses less digits than its factorization.

222100122201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57738140 (or 57738133 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222100122201100 its reverse (1102221001222), we get a palindrome (223202343202322).

The spelling of 222100122201100 in words is "two hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, two hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 269 275 286 325 538 550 572 650 715 1076 1100 1300 1345 1430 2690 2860 2959 3497 3575 5380 5918 6725 6994 7150 11836 13450 13988 14300 14795 17485 26900 29590 34970 38467 59180 69940 73975 76934 87425 147950 153868 174850 192335 295900 349700 384670 769340 961675 1923350 3846700 57737833 115475666 230951332 288689165 577378330 635116163 750591829 1154756660 1270232326 1443445825 1501183658 2540464652 2886891650 3002367316 3175580815 3752959145 5773783300 6351161630 7505918290 8256510119 12702323260 15011836580 15531477077 15877904075 16513020238 18764795725 31062954154 31755808150 33026040476 37529591450 41282550595 62125908308 63511616300 75059182900 77657385385 82565101190 155314770770 165130202380 170846247847 201909202001 206412752975 310629541540 341692495694 388286926925 403818404002 412825505950 683384991388 776573853850 807636808004 825651011900 854231239235 1009546010005 1553147707700 1708462478470 2019092020010 2221001222011 3416924956940 4038184040020 4271156196175 4442002444022 5047730050025 8542312392350 8884004888044 10095460100050 11105006110055 17084624784700 20190920200100 22210012220110 44420024440220 55525030550275 111050061100550 222100122201100