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2020012120 = 235710171429
BaseRepresentation
bin111100001100110…
…1111000001011000
312012210000020200201
41320121233001120
513114110341440
6532235511544
7101025551110
oct17031570130
95183006621
102020012120
11947276005
124845b85b4
13262663159
141523c8040
15bc51719a
hex7866f058

2020012120 has 64 divisors (see below), whose sum is σ = 5245819200. Its totient is φ = 685708800.

The previous prime is 2020012109. The next prime is 2020012123. The reversal of 2020012120 is 212100202.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2020012097 and 2020012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020012123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7435 + ... + 63994.

It is an arithmetic number, because the mean of its divisors is an integer number (81965925).

Almost surely, 22020012120 is an apocalyptic number.

2020012120 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 2020012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2622909600).

2020012120 is an abundant number, since it is smaller than the sum of its proper divisors (3225807080).

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

2020012120 is a wasteful number, since it uses less digits than its factorization.

2020012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71548 (or 71544 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2020012120 is about 44944.5449415165. The cubic root of 2020012120 is about 1264.1093930719.

Adding to 2020012120 its reverse (212100202), we get a palindrome (2232112322).

The spelling of 2020012120 in words is "two billion, twenty million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 14140 28280 71429 142858 285716 357145 500003 571432 714290 1000006 1428580 2000012 2500015 2857160 4000024 5000030 7214329 10000060 14428658 20000120 28857316 36071645 50500303 57714632 72143290 101000606 144286580 202001212 252501515 288573160 404002424 505003030 1010006060 2020012120