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20111220012020 = 2258926177431617
BaseRepresentation
bin1001001001010100000100…
…00111111111001111110100
32122012121120111112111220012
410210222002013333033310
510114000234310341040
6110434544504555352
74143662531356454
oct444520207771764
978177514474805
1020111220012020
116454136442245
122309832a82b58
13b2b631490b37
144d756149dd64
1524d21411d865
hex124a821ff3f4

20111220012020 has 48 divisors (see below), whose sum is σ = 42709826895120. Its totient is φ = 7953778212864.

The previous prime is 20111220012019. The next prime is 20111220012041. The reversal of 20111220012020 is 2021002211102.

It can be written as a sum of positive squares in 8 ways, for example, as 1032040619236 + 19079179392784 = 1015894^2 + 4367972^2 .

It is a super-2 number, since 2×201112200120202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20111220011986 and 20111220012004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46379252 + ... + 46810868.

It is an arithmetic number, because the mean of its divisors is an integer number (889788060315).

Almost surely, 220111220012020 is an apocalyptic number.

20111220012020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111220012020 is an abundant number, since it is smaller than the sum of its proper divisors (22598606883100).

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

20111220012020 is a wasteful number, since it uses less digits than its factorization.

20111220012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457892 (or 457890 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20111220012020 its reverse (2021002211102), we get a palindrome (22132222223122).

The spelling of 20111220012020 in words is "twenty trillion, one hundred eleven billion, two hundred twenty million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 26177 52354 104708 130885 261770 431617 523540 863234 1726468 2158085 2329753 4316170 4659506 8632340 9319012 11648765 23297530 38413913 46595060 76827826 153655652 192069565 384139130 768278260 11298438209 22596876418 45193752836 56492191045 112984382090 225968764180 1005561000601 2011122001202 4022244002404 5027805003005 10055610006010 20111220012020