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201221021222200 = 23527183571782963
BaseRepresentation
bin101101110000001001101011…
…011111011100010100111000
3222101110112121221110220022001
4231300021223133130110320
5202333301122413102300
61551543354435510344
760245511326414620
oct5560115337342470
9871415557426261
10201221021222200
115912a3a0727851
121a699b94a583b4
1388380a39ac1b5
143799213d07880
15183e3494ba16a
hexb7026b7dc538

201221021222200 has 96 divisors (see below), whose sum is σ = 534676594757760. Its totient is φ = 68989600483200.

The previous prime is 201221021222189. The next prime is 201221021222209. The reversal of 201221021222200 is 2222120122102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201221021222209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256607919 + ... + 257390881.

It is an arithmetic number, because the mean of its divisors is an integer number (5569547862060).

Almost surely, 2201221021222200 is an apocalyptic number.

201221021222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201221021222200 is an abundant number, since it is smaller than the sum of its proper divisors (333455573535560).

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

201221021222200 is a wasteful number, since it uses less digits than its factorization.

201221021222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966557 (or 966548 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 201221021222200 its reverse (2222120122102), we get a palindrome (203443141344302).

The spelling of 201221021222200 in words is "two hundred one trillion, two hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 183571 367142 734284 782963 917855 1284997 1468568 1565926 1835710 2569994 3131852 3671420 3914815 4589275 5139988 5480741 6263704 6424985 7342840 7829630 9178550 10279976 10961482 12849970 15659260 18357100 19574075 21922964 25699940 27403705 31318520 32124925 36714200 39148150 43845928 51399880 54807410 64249850 78296300 109614820 128499700 137018525 156592600 219229640 256999400 274037050 548074100 1096148200 143729300873 287458601746 574917203492 718646504365 1006105106111 1149834406984 1437293008730 2012210212222 2874586017460 3593232521825 4024420424444 5030525530555 5749172034920 7186465043650 8048840848888 10061051061110 14372930087300 20122102122220 25152627652775 28745860174600 40244204244440 50305255305550 100610510611100 201221021222200