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204530141200401 = 32297969929141851
BaseRepresentation
bin101110100000010011100010…
…011010011000000000010001
3222211011220001012112002122200
4232200103202122120000101
5203302010212121403101
62002555503313153413
761036546365216162
oct5640234232300021
9884156035462580
10204530141200401
115a195822688395
121ab3338a55b869
138a18156907cb3
143871451269769
15189a471d98986
hexba04e2698011

204530141200401 has 48 divisors (see below), whose sum is σ = 309494963232000. Its totient is φ = 129982334227200.

The previous prime is 204530141200397. The next prime is 204530141200417. The reversal of 204530141200401 is 104002141035402.

204530141200401 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 0 + 1 + 4 + 1 + 200 + 401 = 666.

It is not a de Polignac number, because 204530141200401 - 22 = 204530141200397 is a prime.

It is a super-2 number, since 2×2045301412004012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204530141200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1441795126 + ... + 1441936976.

It is an arithmetic number, because the mean of its divisors is an integer number (6447811734000).

Almost surely, 2204530141200401 is an apocalyptic number.

It is an amenable number.

204530141200401 is a deficient number, since it is larger than the sum of its proper divisors (104964822031599).

204530141200401 is a wasteful number, since it uses less digits than its factorization.

204530141200401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211894 (or 211891 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 204530141200401 its reverse (104002141035402), we get a palindrome (308532282235803).

The spelling of 204530141200401 in words is "two hundred four trillion, five hundred thirty billion, one hundred forty-one million, two hundred thousand, four hundred one".

Divisors: 1 3 9 29 79 87 237 261 711 2291 6873 20619 69929 141851 209787 425553 629361 1276659 2027941 4113679 5524391 6083823 11206229 12341037 16573173 18251469 33618687 37023111 49719519 100856061 160207339 324980641 480622017 974941923 1441866051 2924825769 9919498579 29758495737 89275487211 287665458791 783640387741 862996376373 2350921163223 2588989129119 7052763489669 22725571244489 68176713733467 204530141200401