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42322012020 = 223251136920681
BaseRepresentation
bin100111011010100101…
…101010011101110100
311001020111022222011200
4213122211222131310
51143133413341040
631235323332500
73025531111101
oct473245523564
9131214288150
1042322012020
1116a48744042
128251681130
133cb6163882
142096b29aa8
15117a7a5630
hex9da96a774

42322012020 has 72 divisors (see below), whose sum is σ = 128394269640. Its totient is φ = 11284331520.

The previous prime is 42322012013. The next prime is 42322012043. The reversal of 42322012020 is 2021022324.

42322012020 is a `hidden beast` number, since 423 + 2 + 201 + 20 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 610485264 + 41711526756 = 24708^2 + 204234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42322011984 and 42322012002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2036080 + ... + 2056760.

It is an arithmetic number, because the mean of its divisors is an integer number (1783253745).

Almost surely, 242322012020 is an apocalyptic number.

It is an amenable number.

42322012020 is an abundant number, since it is smaller than the sum of its proper divisors (86072257620).

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

42322012020 is a wasteful number, since it uses less digits than its factorization.

42322012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32065 (or 32060 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 42322012020 its reverse (2021022324), we get a palindrome (44343034344).

The spelling of 42322012020 in words is "forty-two billion, three hundred twenty-two million, twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11369 20681 22738 34107 41362 45476 56845 62043 68214 82724 102321 103405 113690 124086 136428 170535 186129 204642 206810 227380 248172 310215 341070 372258 409284 413620 511605 620430 682140 744516 930645 1023210 1240860 1861290 2046420 3722580 235122289 470244578 705366867 940489156 1175611445 1410733734 2116100601 2351222890 2821467468 3526834335 4232201202 4702445780 7053668670 8464402404 10580503005 14107337340 21161006010 42322012020