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212111202220020 = 223251178395567889
BaseRepresentation
bin110000001110100111111100…
…110111000111011111110100
31000211000122002101022020120100
4300032213330313013133310
5210300212220232020040
62031042312513034100
762451346216523235
oct6016477467073764
91024018071266510
10212111202220020
1161648945a1aa24
121b9586a4555930
13914800126944c
143a5434633308c
15197c7748d0b30
hexc0e9fcdc77f4

212111202220020 has 36 divisors (see below), whose sum is σ = 643403980067940. Its totient is φ = 56562987258624.

The previous prime is 212111202219977. The next prime is 212111202220031. The reversal of 212111202220020 is 20022202111212.

It is a happy number.

212111202220020 is a `hidden beast` number, since 212 + 1 + 11 + 202 + 220 + 0 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 153397786368996 + 58713415851024 = 12385386^2 + 7662468^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212111202219975 and 212111202220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589197783765 + ... + 589197784124.

It is an arithmetic number, because the mean of its divisors is an integer number (17872332779665).

Almost surely, 2212111202220020 is an apocalyptic number.

212111202220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111202220020 is an abundant number, since it is smaller than the sum of its proper divisors (431292777847920).

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

212111202220020 is a wasteful number, since it uses less digits than its factorization.

212111202220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178395567904 (or 1178395567899 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 212111202220020 its reverse (20022202111212), we get a palindrome (232133404331232).

The spelling of 212111202220020 in words is "two hundred twelve trillion, one hundred eleven billion, two hundred two million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1178395567889 2356791135778 3535186703667 4713582271556 5891977839445 7070373407334 10605560111001 11783955678890 14140746814668 17675933518335 21211120222002 23567911357780 35351867036670 42422240444004 53027800555005 70703734073340 106055601110010 212111202220020