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205741141 = 23311012857
BaseRepresentation
bin11000100001101…
…01110001010101
3112100010201210021
430100311301111
5410132204031
632225425141
75045525254
oct1420656125
9470121707
10205741141
11a6154401
1258a9b1b1
1333817528
141d47879b
15130e0511
hexc435c55

205741141 has 16 divisors (see below), whose sum is σ = 223884288. Its totient is φ = 188496000.

The previous prime is 205741091. The next prime is 205741163. The reversal of 205741141 is 141147502.

It is a cyclic number.

It is not a de Polignac number, because 205741141 - 27 = 205741013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205741241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70585 + ... + 73441.

It is an arithmetic number, because the mean of its divisors is an integer number (13992768).

Almost surely, 2205741141 is an apocalyptic number.

It is an amenable number.

205741141 is a deficient number, since it is larger than the sum of its proper divisors (18143147).

205741141 is a wasteful number, since it uses less digits than its factorization.

205741141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3012.

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 205741141 is about 14343.6794791295. The cubic root of 205741141 is about 590.3465750800.

Adding to 205741141 its reverse (141147502), we get a palindrome (346888643).

The spelling of 205741141 in words is "two hundred five million, seven hundred forty-one thousand, one hundred forty-one".

Divisors: 1 23 31 101 713 2323 2857 3131 65711 72013 88567 288557 2037041 6636811 8945267 205741141