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204120043335 = 34513331911681
BaseRepresentation
bin1011111000011010000…
…0001010111101000111
3201111212110212120110000
42332012200022331013
511321014212341320
6233434344532343
720514166512105
oct2760640127507
9644773776400
10204120043335
117962649679a
12336874810b3
131632ca81440
149c45362c75
15549a00cc90
hex2f8680af47

204120043335 has 80 divisors (see below), whose sum is σ = 394203015360. Its totient is φ = 100450990080.

The previous prime is 204120043333. The next prime is 204120043469. The reversal of 204120043335 is 533340021402.

204120043335 is a `hidden beast` number, since 20 + 4 + 1 + 200 + 433 + 3 + 5 = 666.

204120043335 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 204120043335 - 21 = 204120043333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 204120043299 and 204120043308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204120043333) 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 79 ways as a sum of consecutive naturals, for example, 17468695 + ... + 17480375.

It is an arithmetic number, because the mean of its divisors is an integer number (4927537692).

Almost surely, 2204120043335 is an apocalyptic number.

204120043335 is a deficient number, since it is larger than the sum of its proper divisors (190082972025).

204120043335 is a wasteful number, since it uses less digits than its factorization.

204120043335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030 (or 15021 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 204120043335 its reverse (533340021402), we get a palindrome (737460064737).

The spelling of 204120043335 in words is "two hundred four billion, one hundred twenty million, forty-three thousand, three hundred thirty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 81 117 135 195 351 405 585 1053 1755 3319 5265 9957 11681 16595 29871 35043 43147 49785 58405 89613 105129 129441 149355 151853 175215 215735 268839 315387 388323 448065 455559 525645 647205 759265 946161 1164969 1344195 1366677 1576935 1941615 2277795 3494907 4100031 4730805 5824845 6833385 12300093 17474535 20500155 38769239 61500465 116307717 193846195 348923151 504000107 581538585 1046769453 1512000321 1744615755 2520000535 3140308359 4536000963 5233847265 7560001605 13608002889 15701541795 22680004815 40824008667 68040014445 204120043335