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203212020044133 = 32194798377257017
BaseRepresentation
bin101110001101000111111100…
…010001001101000101100101
3222122111212202002000112020200
4232031013330101031011211
5203113411204112403013
62000110151354221113
760542404203234222
oct5615077421150545
9878455662015220
10203212020044133
11598278086522a1
121a95ba26424799
138950a7146cca9
14382772b156949
151876027136e73
hexb8d1fc44d165

203212020044133 has 48 divisors (see below), whose sum is σ = 315555761713920. Its totient is φ = 125611935487488.

The previous prime is 203212020044083. The next prime is 203212020044141. The reversal of 203212020044133 is 331440020212302.

203212020044133 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 12 + 0 + 200 + 441 + 3 + 3 = 666.

203212020044133 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 203212020044133 - 214 = 203212020027749 is a prime.

It is a super-3 number, since 3×2032120200441333 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 203212020044097 and 203212020044106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203212020094133) 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, 790527441 + ... + 790784457.

It is an arithmetic number, because the mean of its divisors is an integer number (6574078369040).

Almost surely, 2203212020044133 is an apocalyptic number.

It is an amenable number.

203212020044133 is a deficient number, since it is larger than the sum of its proper divisors (112343741669787).

203212020044133 is a wasteful number, since it uses less digits than its factorization.

203212020044133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355466 (or 355463 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 203212020044133 its reverse (331440020212302), we get a palindrome (534652040256435).

The spelling of 203212020044133 in words is "two hundred three trillion, two hundred twelve billion, twenty million, forty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 19 47 57 141 171 423 893 2679 8037 98377 257017 295131 771051 885393 1869163 2313153 4623719 4883323 5607489 12079799 13871157 14649969 16822467 36239397 41613471 43949907 87850661 108718191 229516181 263551983 688548543 790655949 2065645629 25284561409 75853684227 227561052681 480406666771 1188374386223 1441220000313 3565123158669 4323660000939 10695369476007 22579113338237 67737340014711 203212020044133