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442300401020 = 22522115020051
BaseRepresentation
bin1100110111110110010…
…10001000010101111100
31120021122200020101110002
412123323022020111330
524221312400313040
6535105012333432
743645421243222
oct6337312102574
91507580211402
10442300401020
11160640055805
1271879614278
133292a17642a
141759c0a4b12
15b78a330a15
hex66fb28857c

442300401020 has 12 divisors (see below), whose sum is σ = 928830842184. Its totient is φ = 176920160400.

The previous prime is 442300401013. The next prime is 442300401029. The reversal of 442300401020 is 20104003244.

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: 22115020051 = 442300401020 / (4 + 4 + 2 + 3 + 0 + 0 + 4 + 0 + 1 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 442300400983 and 442300401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442300401029) 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, 11057510006 + ... + 11057510045.

It is an arithmetic number, because the mean of its divisors is an integer number (77402570182).

Almost surely, 2442300401020 is an apocalyptic number.

It is an amenable number.

442300401020 is an abundant number, since it is smaller than the sum of its proper divisors (486530441164).

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

442300401020 is a wasteful number, since it uses less digits than its factorization.

442300401020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22115020060 (or 22115020058 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 442300401020 its reverse (20104003244), we get a palindrome (462404404264).

The spelling of 442300401020 in words is "four hundred forty-two billion, three hundred million, four hundred one thousand, twenty".

Divisors: 1 2 4 5 10 20 22115020051 44230040102 88460080204 110575100255 221150200510 442300401020