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4220042004020 = 225211002100201
BaseRepresentation
bin111101011010001110000…
…110101100011000110100
3112221102122222112200100202
4331122032012230120310
51023120121223112040
612550354401500032
7613613401116533
oct75321606543064
915842588480322
104220042004020
111387789771057
12581a57641618
13247c4340b28b
1410837311c31a
1574b8dbe6015
hex3d68e1ac634

4220042004020 has 12 divisors (see below), whose sum is σ = 8862088208484. Its totient is φ = 1688016801600.

The previous prime is 4220042003987. The next prime is 4220042004023. The reversal of 4220042004020 is 204002400224.

4220042004020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2714935062436 + 1505106941584 = 1647706^2 + 1226828^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 211002100201 = 4220042004020 / (4 + 2 + 2 + 0 + 0 + 4 + 2 + 0 + 0 + 4 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 4220042003983 and 4220042004001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4220042004023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 105501050081 + ... + 105501050120.

It is an arithmetic number, because the mean of its divisors is an integer number (738507350707).

Almost surely, 24220042004020 is an apocalyptic number.

It is an amenable number.

4220042004020 is an abundant number, since it is smaller than the sum of its proper divisors (4642046204464).

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

4220042004020 is a wasteful number, since it uses less digits than its factorization.

4220042004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211002100210 (or 211002100208 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4220042004020 its reverse (204002400224), we get a palindrome (4424044404244).

The spelling of 4220042004020 in words is "four trillion, two hundred twenty billion, forty-two million, four thousand, twenty".

Divisors: 1 2 4 5 10 20 211002100201 422004200402 844008400804 1055010501005 2110021002010 4220042004020