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2020122020 = 225722971081
BaseRepresentation
bin111100001101000…
…1001110110100100
312012210012211110002
41320122021312210
513114122401040
6532242120432
7101026516400
oct17032116644
95183184402
102020122020
11947340634
12484650118
132626a1197
14152416100
15bc539a15
hex78689da4

2020122020 has 72 divisors (see below), whose sum is σ = 5105109240. Its totient is φ = 668720640.

The previous prime is 2020122017. The next prime is 2020122023. The reversal of 2020122020 is 202210202.

It is an interprime number because it is at equal distance from previous prime (2020122017) and next prime (2020122023).

It can be written as a sum of positive squares in 4 ways, for example, as 470282596 + 1549839424 = 21686^2 + 39368^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2020121992 and 2020122010.

It is not an unprimeable number, because it can be changed into a prime (2020122023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7121 + ... + 63960.

It is an arithmetic number, because the mean of its divisors is an integer number (70904295).

Almost surely, 22020122020 is an apocalyptic number.

2020122020 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 2020122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552554620).

2020122020 is an abundant number, since it is smaller than the sum of its proper divisors (3084987220).

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

2020122020 is a wasteful number, since it uses less digits than its factorization.

2020122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71133 (or 71124 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2020122020 is about 44945.7675426730. The cubic root of 2020122020 is about 1264.1323175388.

Adding to 2020122020 its reverse (202210202), we get a palindrome (2222332222).

The spelling of 2020122020 in words is "two billion, twenty million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 49 58 70 98 116 140 145 196 203 245 290 406 490 580 812 980 1015 1421 2030 2842 4060 5684 7105 14210 28420 71081 142162 284324 355405 497567 710810 995134 1421620 1990268 2061349 2487835 3482969 4122698 4975670 6965938 8245396 9951340 10306745 13931876 14429443 17414845 20613490 28858886 34829690 41226980 57717772 69659380 72147215 101006101 144294430 202012202 288588860 404024404 505030505 1010061010 2020122020