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20211210331020 = 22325112284501839
BaseRepresentation
bin1001001100001110010100…
…00000110010001110001100
32122120011122222222000022100
410212013022000302032030
510122120024321043040
6110552522444315100
74154132430144462
oct446071200621614
978504588860270
1020211210331020
116492587365915
122325099542a90
13b37ba7c90c77
144dc329120832
15250b17594b30
hex1261ca03238c

20211210331020 has 36 divisors (see below), whose sum is σ = 61307338004640. Its totient is φ = 5389656088224.

The previous prime is 20211210330989. The next prime is 20211210331031. The reversal of 20211210331020 is 2013301211202.

20211210331020 is a `hidden beast` number, since 20 + 211 + 2 + 103 + 310 + 20 = 666.

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 = 20211210330984 and 20211210331002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56142250740 + ... + 56142251099.

It is an arithmetic number, because the mean of its divisors is an integer number (1702981611240).

Almost surely, 220211210331020 is an apocalyptic number.

20211210331020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211210331020 is an abundant number, since it is smaller than the sum of its proper divisors (41096127673620).

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

20211210331020 is a wasteful number, since it uses less digits than its factorization.

20211210331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112284501854 (or 112284501849 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20211210331020 its reverse (2013301211202), we get a palindrome (22224511542222).

The spelling of 20211210331020 in words is "twenty trillion, two hundred eleven billion, two hundred ten million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 112284501839 224569003678 336853505517 449138007356 561422509195 673707011034 1010560516551 1122845018390 1347414022068 1684267527585 2021121033102 2245690036780 3368535055170 4042242066204 5052802582755 6737070110340 10105605165510 20211210331020