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212011120200020 = 22511393810230177
BaseRepresentation
bin110000001101001010101111…
…100000100000100101010100
31000210200001202111022212000212
4300031022233200200211110
5210242042233232400040
62030524321500024552
762441204125426331
oct6015125740404524
91023601674285025
10212011120200020
116160a458263aa9
121b941213232158
13913b74177007b
143a4d570441988
151979d68393d65
hexc0d2af820954

212011120200020 has 24 divisors (see below), whose sum is σ = 449163382092264. Its totient is φ = 84053966237696.

The previous prime is 212011120199999. The next prime is 212011120200029. The reversal of 212011120200020 is 20002021110212.

It can be written as a sum of positive squares in 4 ways, for example, as 20044442318404 + 191966677881616 = 4477102^2 + 13855204^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212011120199968 and 212011120200004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011120200029) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46905112829 + ... + 46905117348.

It is an arithmetic number, because the mean of its divisors is an integer number (18715140920511).

Almost surely, 2212011120200020 is an apocalyptic number.

212011120200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212011120200020 is an abundant number, since it is smaller than the sum of its proper divisors (237152261892244).

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

212011120200020 is a wasteful number, since it uses less digits than its factorization.

212011120200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93810230299 (or 93810230297 counting only the distinct ones).

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

Adding to 212011120200020 its reverse (20002021110212), we get a palindrome (232013141310232).

The spelling of 212011120200020 in words is "two hundred twelve trillion, eleven billion, one hundred twenty million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 93810230177 187620460354 375240920708 469051150885 938102301770 1876204603540 10600556010001 21201112020002 42402224040004 53002780050005 106005560100010 212011120200020