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442202402020 = 22522110120101
BaseRepresentation
bin1100110111101010101…
…00010010110011100100
31120021101211211112002111
412123311110102303210
524221112303331040
6535051152050404
743643121253651
oct6336524226344
91507354745074
10442202402020
1116059a8006a5
1271850833a04
1332912a83662
141758d074c28
15b781923dea
hex66f5512ce4

442202402020 has 12 divisors (see below), whose sum is σ = 928625044284. Its totient is φ = 176880960800.

The previous prime is 442202401987. The next prime is 442202402041. The reversal of 442202402020 is 20204202244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55278592996 + 386923809024 = 235114^2 + 622032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 442202401982 and 442202402000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11055060031 + ... + 11055060070.

It is an arithmetic number, because the mean of its divisors is an integer number (77385420357).

Almost surely, 2442202402020 is an apocalyptic number.

It is an amenable number.

442202402020 is an abundant number, since it is smaller than the sum of its proper divisors (486422642264).

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

442202402020 is a wasteful number, since it uses less digits than its factorization.

442202402020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22110120110 (or 22110120108 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 442202402020 its reverse (20204202244), we get a palindrome (462406604264).

The spelling of 442202402020 in words is "four hundred forty-two billion, two hundred two million, four hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 22110120101 44220240202 88440480404 110550600505 221101201010 442202402020