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42200132420 = 2252972758849
BaseRepresentation
bin100111010011010100…
…101110101101000100
311000220222222211210102
4213103110232231010
51142411213214140
631215251143232
73022521131015
oct472324565504
9130828884712
1042200132420
11169959690a6
1282188a4b18
133c96b2c274
14208488100c
15116ec2ce15
hex9d352eb44

42200132420 has 24 divisors (see below), whose sum is σ = 91676151000. Its totient is φ = 16297981952.

The previous prime is 42200132417. The next prime is 42200132453. The reversal of 42200132420 is 2423100224.

42200132420 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 4 ways, for example, as 2525866564 + 39674265856 = 50258^2 + 199184^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42200132392 and 42200132401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36378845 + ... + 36380004.

It is an arithmetic number, because the mean of its divisors is an integer number (3819839625).

Almost surely, 242200132420 is an apocalyptic number.

It is an amenable number.

42200132420 is an abundant number, since it is smaller than the sum of its proper divisors (49476018580).

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

42200132420 is a wasteful number, since it uses less digits than its factorization.

42200132420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72758887 (or 72758885 counting only the distinct ones).

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

Adding to 42200132420 its reverse (2423100224), we get a palindrome (44623232644).

The spelling of 42200132420 in words is "forty-two billion, two hundred million, one hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 72758849 145517698 291035396 363794245 727588490 1455176980 2110006621 4220013242 8440026484 10550033105 21100066210 42200132420