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204331012401 = 36718110335437
BaseRepresentation
bin1011111001001100010…
…0111101000100110001
3201112102011211220121010
42332103010331010301
511321432214344101
6233511322421133
720522340643215
oct2762304750461
9645364756533
10204331012401
117972459099a
12337260617a9
13163646a93c9
149c6539c945
1554ad7d22d6
hex2f9313d131

204331012401 has 32 divisors (see below), whose sum is σ = 278355645568. Its totient is φ = 133292459520.

The previous prime is 204331012397. The next prime is 204331012421. The reversal of 204331012401 is 104210133402.

204331012401 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 204331012401 - 22 = 204331012397 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204331012421) 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 31 ways as a sum of consecutive naturals, for example, 37578855 + ... + 37584291.

It is an arithmetic number, because the mean of its divisors is an integer number (8698613924).

Almost surely, 2204331012401 is an apocalyptic number.

It is an amenable number.

204331012401 is a deficient number, since it is larger than the sum of its proper divisors (74024633167).

204331012401 is a wasteful number, since it uses less digits than its factorization.

204331012401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6721.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 204331012401 its reverse (104210133402), we get a palindrome (308541145803).

The spelling of 204331012401 in words is "two hundred four billion, three hundred thirty-one million, twelve thousand, four hundred one".

Divisors: 1 3 67 181 201 543 1033 3099 5437 12127 16311 36381 69211 186973 207633 364279 560919 984097 1092837 2952291 5616421 12527191 16849263 37581573 65934499 197803497 376300207 1016572201 1128900621 3049716603 68110337467 204331012401