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20210012220020 = 2257242148984469
BaseRepresentation
bin1001001100001100000101…
…00110010110101001110100
32122120001120111111122222212
410212012002212112221310
510122110101112020040
6110552203524512552
74154060641314500
oct446060246265164
978501514448885
1020210012220020
11649202202a337
122324a0424b758
13b37a469ab54c
144dc253d63300
15250a972cdd65
hex126182996a74

20210012220020 has 72 divisors (see below), whose sum is σ = 49487442537960. Its totient is φ = 6912688124160.

The previous prime is 20210012220001. The next prime is 20210012220049. The reversal of 20210012220020 is 2002221001202.

It can be written as a sum of positive squares in 4 ways, for example, as 538764808036 + 19671247411984 = 734006^2 + 4435228^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20210012219977 and 20210012220004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24079655 + ... + 24904814.

It is an arithmetic number, because the mean of its divisors is an integer number (687325590805).

Almost surely, 220210012220020 is an apocalyptic number.

20210012220020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210012220020 is an abundant number, since it is smaller than the sum of its proper divisors (29277430317940).

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

20210012220020 is a wasteful number, since it uses less digits than its factorization.

20210012220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48984913 (or 48984904 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20210012220020 its reverse (2002221001202), we get a palindrome (22212233221222).

The spelling of 20210012220020 in words is "twenty trillion, two hundred ten billion, twelve million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 421 490 842 980 1684 2105 2947 4210 5894 8420 11788 14735 20629 29470 41258 58940 82516 103145 206290 412580 48984469 97968938 195937876 244922345 342891283 489844690 685782566 979689380 1371565132 1714456415 2400238981 3428912830 4800477962 6857825660 9600955924 12001194905 20622461449 24002389810 41244922898 48004779620 82489845796 103112307245 144357230143 206224614490 288714460286 412449228980 577428920572 721786150715 1010500611001 1443572301430 2021001222002 2887144602860 4042002444004 5052503055005 10105006110010 20210012220020