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432124242100 = 22524321242421
BaseRepresentation
bin1100100100111001001…
…11001010100010110100
31112022101110222221201021
412102130213022202310
524034442301221400
6530303134110524
743135304311345
oct6223447124264
91468343887637
10432124242100
11157298961a11
126b8b964b444
1331997b2b515
1416cb47a80cc
15b391c7771a
hex649c9ca8b4

432124242100 has 18 divisors (see below), whose sum is σ = 937709605574. Its totient is φ = 172849696800.

The previous prime is 432124242091. The next prime is 432124242103. The reversal of 432124242100 is 1242421234.

It can be written as a sum of positive squares in 3 ways, for example, as 18268766244 + 413855475856 = 135162^2 + 643316^2 .

It is a super-2 number, since 2×4321242421002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432124242103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2160621111 + ... + 2160621310.

Almost surely, 2432124242100 is an apocalyptic number.

It is an amenable number.

432124242100 is an abundant number, since it is smaller than the sum of its proper divisors (505585363474).

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

432124242100 is a wasteful number, since it uses less digits than its factorization.

432124242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4321242435 (or 4321242428 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 432124242100 its reverse (1242421234), we get a palindrome (433366663334).

The spelling of 432124242100 in words is "four hundred thirty-two billion, one hundred twenty-four million, two hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 4321242421 8642484842 17284969684 21606212105 43212424210 86424848420 108031060525 216062121050 432124242100