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20112020 = 22517149397
BaseRepresentation
bin100110010111…
…0001010010100
31101211210111122
41030232022110
520122041040
61555023112
7332643425
oct114561224
941753448
1020112020
1110397505
12689aa98
134222406
14295764c
151b741b5
hex132e294

20112020 has 48 divisors (see below), whose sum is σ = 45133200. Its totient is φ = 7501824.

The previous prime is 20112007. The next prime is 20112023. The reversal of 20112020 is 2021102.

It can be written as a sum of positive squares in 8 ways, for example, as 59536 + 20052484 = 244^2 + 4478^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20111989 and 20112007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20112023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50462 + ... + 50858.

It is an arithmetic number, because the mean of its divisors is an integer number (940275).

Almost surely, 220112020 is an apocalyptic number.

20112020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22566600).

20112020 is an abundant number, since it is smaller than the sum of its proper divisors (25021180).

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

20112020 is a wasteful number, since it uses less digits than its factorization.

20112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 20112020 is about 4484.6426836483. The cubic root of 20112020 is about 271.9476002001.

Adding to 20112020 its reverse (2021102), we get a palindrome (22133122).

It can be divided in two parts, 201 and 12020, that added together give a palindrome (12221).

The spelling of 20112020 in words is "twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 149 170 298 340 397 596 745 794 1490 1588 1985 2533 2980 3970 5066 6749 7940 10132 12665 13498 25330 26996 33745 50660 59153 67490 118306 134980 236612 295765 591530 1005601 1183060 2011202 4022404 5028005 10056010 20112020