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20122202100200 = 2352415724202793
BaseRepresentation
bin1001001001101000100001…
…01101010101000111101000
32122020122220212021101201212
410210310100231111013220
510114140232214201300
6110444002333132252
74144531632521324
oct444642055250750
978218825241655
1020122202100200
116458861556682
12230b99892a088
13b2c691786675
144d7cc3c2a984
1524d658320935
hex124d10b551e8

20122202100200 has 48 divisors (see below), whose sum is σ = 46795376115180. Its totient is φ = 8046944284160.

The previous prime is 20122202100179. The next prime is 20122202100223. The reversal of 20122202100200 is 200120222102.

It can be written as a sum of positive squares in 6 ways, for example, as 12354086166244 + 7768115933956 = 3514838^2 + 2787134^2 .

It is a super-2 number, since 2×201222021002002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11269997 + ... + 12932796.

Almost surely, 220122202100200 is an apocalyptic number.

20122202100200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20122202100200 is an abundant number, since it is smaller than the sum of its proper divisors (26673174014980).

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

20122202100200 is a wasteful number, since it uses less digits than its factorization.

20122202100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24206966 (or 24206957 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20122202100200 its reverse (200120222102), we get a palindrome (20322322322302).

The spelling of 20122202100200 in words is "twenty trillion, one hundred twenty-two billion, two hundred two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 4157 8314 16628 20785 33256 41570 83140 103925 166280 207850 415700 831400 24202793 48405586 96811172 121013965 193622344 242027930 484055860 605069825 968111720 1210139650 2420279300 4840558600 100611010501 201222021002 402444042004 503055052505 804888084008 1006110105010 2012220210020 2515275262525 4024440420040 5030550525050 10061101050100 20122202100200