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20222022110100 = 22352124335421599
BaseRepresentation
bin1001001100100010011100…
…11100011100101110010100
32122121012120111020021222120
410212101032130130232110
510122304200130010400
6111001511350255540
74154664362562336
oct446211634345624
978535514207876
1020222022110100
116497125326528
1223271b63575b0
13b38c0bbc6895
144dca72dd7456
1525104b854ca0
hex12644e71cb94

20222022110100 has 72 divisors (see below), whose sum is σ = 58513767379200. Its totient is φ = 5392104506880.

The previous prime is 20222022110077. The next prime is 20222022110113. The reversal of 20222022110100 is 101122022202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20222022110100.

It is a congruent 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, 1019101 + ... + 6440699.

It is an arithmetic number, because the mean of its divisors is an integer number (812691213600).

Almost surely, 220222022110100 is an apocalyptic number.

20222022110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20222022110100 is an abundant number, since it is smaller than the sum of its proper divisors (38291745269100).

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

20222022110100 is a wasteful number, since it uses less digits than its factorization.

20222022110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5434049 (or 5434042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20222022110100 its reverse (101122022202), we get a palindrome (20323144132302).

The spelling of 20222022110100 in words is "twenty trillion, two hundred twenty-two billion, twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 12433 24866 37299 49732 62165 74598 124330 149196 186495 248660 310825 372990 621650 745980 932475 1243300 1864950 3729900 5421599 10843198 16264797 21686396 27107995 32529594 54215990 65059188 81323985 108431980 135539975 162647970 271079950 325295940 406619925 542159900 813239850 1626479700 67406740367 134813480734 202220221101 269626961468 337033701835 404440442202 674067403670 808880884404 1011101105505 1348134807340 1685168509175 2022202211010 3370337018350 4044404422020 5055505527525 6740674036700 10111011055050 20222022110100