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2023220102020 = 225132598585829
BaseRepresentation
bin11101011100010001010…
…100001100001110000100
321011102021200120020202121
4131130101110030032010
5231122023321231040
64145242100215324
7266113165054345
oct35342124141604
97142250506677
102023220102020
11710052003147
1228814439a544
13118a340c8500
146dcd26b40cc
15379667b7c4a
hex1d71150c384

2023220102020 has 36 divisors (see below), whose sum is σ = 4600730689380. Its totient is φ = 747035113344.

The previous prime is 2023220101961. The next prime is 2023220102027. The reversal of 2023220102020 is 202010223202.

It can be written as a sum of positive squares in 6 ways, for example, as 30515198596 + 1992704903424 = 174686^2 + 1411632^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2023220101985 and 2023220102003.

It is not an unprimeable number, because it can be changed into a prime (2023220102027) by changing a digit.

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, 299289535 + ... + 299296294.

It is an arithmetic number, because the mean of its divisors is an integer number (127798074705).

Almost surely, 22023220102020 is an apocalyptic number.

2023220102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023220102020 is an abundant number, since it is smaller than the sum of its proper divisors (2577510587360).

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

2023220102020 is a wasteful number, since it uses less digits than its factorization.

2023220102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598585864 (or 598585849 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 2023220102020 its reverse (202010223202), we get a palindrome (2225230325222).

The spelling of 2023220102020 in words is "two trillion, twenty-three billion, two hundred twenty million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 598585829 1197171658 2394343316 2992929145 5985858290 7781615777 11971716580 15563231554 31126463108 38908078885 77816157770 101161005101 155632315540 202322010202 404644020404 505805025505 1011610051010 2023220102020