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200133323112321 = 3233765985269737
BaseRepresentation
bin101101100000010100101011…
…101000011011111110000001
3222020121120002101120220022100
4231200110223220123332001
5202212441021204043241
61545351551314301013
760104104213135134
oct5540245350337601
9866546071526270
10200133323112321
115885007a4829a5
121a543218b87769
138789650778961
14375c70c5a421b
151820dd8a1d9b6
hexb6052ba1bf81

200133323112321 has 12 divisors (see below), whose sum is σ = 289939275228772. Its totient is φ = 133026303787776.

The previous prime is 200133323112319. The next prime is 200133323112329. The reversal of 200133323112321 is 123211323331002.

200133323112321 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 3 + 323 + 1 + 12 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121315575492225 + 78817747620096 = 11014335^2 + 8877936^2 .

It is not a de Polignac number, because 200133323112321 - 21 = 200133323112319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (200133323112329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32992631836 + ... + 32992637901.

Almost surely, 2200133323112321 is an apocalyptic number.

It is an amenable number.

200133323112321 is a deficient number, since it is larger than the sum of its proper divisors (89805952116451).

200133323112321 is a wasteful number, since it uses less digits than its factorization.

200133323112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65985270080 (or 65985270077 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 200133323112321 its reverse (123211323331002), we get a palindrome (323344646443323).

The spelling of 200133323112321 in words is "two hundred trillion, one hundred thirty-three billion, three hundred twenty-three million, one hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 9 337 1011 3033 65985269737 197955809211 593867427633 22237035901369 66711107704107 200133323112321