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233205242240421 = 321131266863284743
BaseRepresentation
bin110101000001100101010011…
…100111111001110110100101
31010120201012111022002011221200
4311001211103213321312211
5221031313314003143141
62143553002001433113
7100056344205355653
oct6501452347716645
91116635438064850
10233205242240421
1168340873662080
12221a48a393b799
13a0182106325a9
1441832a02a5dd3
151be630bd87ab6
hexd419539f9da5

233205242240421 has 48 divisors (see below), whose sum is σ = 379331710697472. Its totient is φ = 136776275287200.

The previous prime is 233205242240387. The next prime is 233205242240459. The reversal of 233205242240421 is 124042242502332.

233205242240421 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 0 + 5 + 2 + 4 + 224 + 0 + 421 = 666.

It is not a de Polignac number, because 233205242240421 - 27 = 233205242240293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233205242240491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 818860176 + ... + 819144918.

It is an arithmetic number, because the mean of its divisors is an integer number (7902743972864).

Almost surely, 2233205242240421 is an apocalyptic number.

It is an amenable number.

233205242240421 is a deficient number, since it is larger than the sum of its proper divisors (146126468457051).

233205242240421 is a wasteful number, since it uses less digits than its factorization.

233205242240421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551654 (or 551651 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 233205242240421 its reverse (124042242502332), we get a palindrome (357247484742753).

The spelling of 233205242240421 in words is "two hundred thirty-three trillion, two hundred five billion, two hundred forty-two million, two hundred forty thousand, four hundred twenty-one".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 266863 284743 800589 854229 2401767 2562687 2935493 3132173 8272753 8806479 8827033 9396519 24818259 26419437 26481099 28189557 74454777 79443297 91000283 97097363 273000849 291292089 819002547 873876267 75987371209 227962113627 683886340881 835861083299 2355608507479 2507583249897 7066825522437 7522749749691 21200476567311 25911693582269 77735080746807 233205242240421