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203918401 = 2953181733
BaseRepresentation
bin11000010011110…
…00110001000001
3112012201010110101
430021320301001
5404200342101
632122402401
75024164201
oct1411706101
9465633411
10203918401
11a5119a05
1258360401
133332999b
141d122401
1512d80401
hexc278c41

203918401 has 16 divisors (see below), whose sum is σ = 216412560. Its totient is φ = 191842560.

The previous prime is 203918381. The next prime is 203918441. The reversal of 203918401 is 104819302.

It is a happy number.

It is a Cunningham number, because it is equal to 142802+1.

It can be written as a sum of positive squares in 8 ways, for example, as 2250000 + 201668401 = 1500^2 + 14201^2 .

It is a cyclic number.

It is not a de Polignac number, because 203918401 - 213 = 203910209 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 203918401.

It is not an unprimeable number, because it can be changed into a prime (203918441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277831 + ... + 278563.

It is an arithmetic number, because the mean of its divisors is an integer number (13525785).

Almost surely, 2203918401 is an apocalyptic number.

It is an amenable number.

203918401 is a deficient number, since it is larger than the sum of its proper divisors (12494159).

203918401 is a wasteful number, since it uses less digits than its factorization.

203918401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996.

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 203918401 is about 14280.0000350140. Note that the first 4 decimals coincide. The cubic root of 203918401 is about 588.5980319786.

Subtracting from 203918401 its reverse (104819302), we obtain a palindrome (99099099).

The spelling of 203918401 in words is "two hundred three million, nine hundred eighteen thousand, four hundred one".

Divisors: 1 29 53 181 733 1537 5249 9593 21257 38849 132673 278197 1126621 3847517 7031669 203918401