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203344144101 = 3278338887769
BaseRepresentation
bin1011110101100001000…
…0010110011011100101
3201102212101212210210100
42331120100112123211
511312422100102401
6233225350414313
720456025464160
oct2753020263345
9642771783710
10203344144101
117926851715a
12334ab661399
13162380b9377
149bb02acad7
155451d46b86
hex2f584166e5

203344144101 has 24 divisors (see below), whose sum is σ = 339723558720. Its totient is φ = 114796691136.

The previous prime is 203344144079. The next prime is 203344144127. The reversal of 203344144101 is 101441443302.

203344144101 is a `hidden beast` number, since 203 + 3 + 4 + 41 + 4 + 410 + 1 = 666.

203344144101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 203344144101 - 231 = 201196660453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203344144141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19438656 + ... + 19449113.

It is an arithmetic number, because the mean of its divisors is an integer number (14155148280).

Almost surely, 2203344144101 is an apocalyptic number.

203344144101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

203344144101 is a deficient number, since it is larger than the sum of its proper divisors (136379414619).

203344144101 is a wasteful number, since it uses less digits than its factorization.

203344144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38887865 (or 38887862 counting only the distinct ones).

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

Adding to 203344144101 its reverse (101441443302), we get a palindrome (304785587403).

The spelling of 203344144101 in words is "two hundred three billion, three hundred forty-four million, one hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 5229 38887769 116663307 272214383 349989921 816643149 2449929447 3227684827 9683054481 22593793789 29049163443 67781381367 203344144101