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20424004100 = 2252204240041
BaseRepresentation
bin10011000001010111…
…011001001000000100
31221201101100220112022
4103001113121020010
5313312021112400
613214353142312
71322061112313
oct230127311004
957641326468
1020424004100
1187308aa635
123b5bb5a998
131c064a2036
14dba73827a
157e80c1b85
hex4c15d9204

20424004100 has 18 divisors (see below), whose sum is σ = 44320089114. Its totient is φ = 8169601600.

The previous prime is 20424004067. The next prime is 20424004127. The reversal of 20424004100 is 140042402.

It can be written as a sum of positive squares in 3 ways, for example, as 50438404 + 20373565696 = 7102^2 + 142736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102119921 + ... + 102120120.

It is an arithmetic number, because the mean of its divisors is an integer number (2462227173).

Almost surely, 220424004100 is an apocalyptic number.

20424004100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20424004100 is an abundant number, since it is smaller than the sum of its proper divisors (23896085014).

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

20424004100 is a wasteful number, since it uses less digits than its factorization.

20424004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204240055 (or 204240048 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 20424004100 its reverse (140042402), we get a palindrome (20564046502).

The spelling of 20424004100 in words is "twenty billion, four hundred twenty-four million, four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 204240041 408480082 816960164 1021200205 2042400410 4084800820 5106001025 10212002050 20424004100