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203241131424 = 253317374773109
BaseRepresentation
bin1011110101001000011…
…1011000110110100000
3201102121020001012222000
42331102013120312200
511312214212201144
6233211230444000
720453335053522
oct2752207306640
9642536035860
10203241131424
1179215358211
1233481063600
131621c95c516
149ba0735a12
155447c99769
hex2f521d8da0

203241131424 has 768 divisors, whose sum is σ = 673476249600. Its totient is φ = 59337474048.

The previous prime is 203241131393. The next prime is 203241131449. The reversal of 203241131424 is 424131142302.

203241131424 is a `hidden beast` number, since 2 + 0 + 324 + 1 + 1 + 314 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1864597482 + ... + 1864597590.

It is an arithmetic number, because the mean of its divisors is an integer number (876922200).

Almost surely, 2203241131424 is an apocalyptic number.

203241131424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203241131424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336738124800).

203241131424 is an abundant number, since it is smaller than the sum of its proper divisors (470235118176).

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

203241131424 is a wasteful number, since it uses less digits than its factorization.

203241131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 203241131424 its reverse (424131142302), we get a palindrome (627372273726).

The spelling of 203241131424 in words is "two hundred three billion, two hundred forty-one million, one hundred thirty-one thousand, four hundred twenty-four".