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42301220020 = 22517343336241
BaseRepresentation
bin100111011001010110…
…010110010010110100
311001012001012121220121
4213121112112102310
51143113103020040
631233301541324
73025156303033
oct473126262264
9131161177817
1042301220020
1116a37a32774
128246714844
133cb1a63b07
14209407671a
151178a49c4a
hex9d95964b4

42301220020 has 48 divisors (see below), whose sum is σ = 94088001168. Its totient is φ = 15920087040.

The previous prime is 42301219997. The next prime is 42301220021. The reversal of 42301220020 is 2002210324.

42301220020 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 8 ways, for example, as 5284999204 + 37016220816 = 72698^2 + 192396^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42301219976 and 42301220003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42301220021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1149100 + ... + 1185340.

It is an arithmetic number, because the mean of its divisors is an integer number (1960166691).

Almost surely, 242301220020 is an apocalyptic number.

It is an amenable number.

42301220020 is an abundant number, since it is smaller than the sum of its proper divisors (51786781148).

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

42301220020 is a wasteful number, since it uses less digits than its factorization.

42301220020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39700 (or 39698 counting only the distinct ones).

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

Adding to 42301220020 its reverse (2002210324), we get a palindrome (44303430344).

The spelling of 42301220020 in words is "forty-two billion, three hundred one million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3433 6866 13732 17165 34330 36241 58361 68660 72482 116722 144964 181205 233444 291805 362410 583610 616097 724820 1167220 1232194 2464388 3080485 6160970 12321940 124415353 248830706 497661412 622076765 1244153530 2115061001 2488307060 4230122002 8460244004 10575305005 21150610010 42301220020