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20112122102020 = 22513687111258087
BaseRepresentation
bin1001001001010101101111…
…11001001100000100000100
32122012200220100222102201221
410210222313321030010010
510114004111224231040
6110435214211530124
74144024064121454
oct444526771140404
978180810872657
1020112122102020
116454559671873
122309a44bb9944
13b2b7463398c0
144d7609201d64
1524d26840e74a
hex124ab7e4c104

20112122102020 has 48 divisors (see below), whose sum is σ = 45490961472768. Its totient is φ = 7424932878720.

The previous prime is 20112122102011. The next prime is 20112122102057. The reversal of 20112122102020 is 2020122121102.

It is a happy number.

It is a super-2 number, since 2×201121221020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20112122101985 and 20112122102003.

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 15 ways as a sum of consecutive naturals, for example, 3842584 + ... + 7415503.

It is an arithmetic number, because the mean of its divisors is an integer number (947728364016).

Almost surely, 220112122102020 is an apocalyptic number.

20112122102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112122102020 is an abundant number, since it is smaller than the sum of its proper divisors (25378839370748).

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

20112122102020 is a wasteful number, since it uses less digits than its factorization.

20112122102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264980 (or 11264978 counting only the distinct ones).

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

Adding to 20112122102020 its reverse (2020122121102), we get a palindrome (22132244223122).

The spelling of 20112122102020 in words is "twenty trillion, one hundred twelve billion, one hundred twenty-two million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 6871 13742 27484 34355 68710 89323 137420 178646 357292 446615 893230 1786460 11258087 22516174 45032348 56290435 112580870 146355131 225161740 292710262 585420524 731775655 1463551310 2927102620 77354315777 154708631554 309417263108 386771578885 773543157770 1005606105101 1547086315540 2011212210202 4022424420404 5028030525505 10056061051010 20112122102020