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205536131 is a prime number
BaseRepresentation
bin11000100000000…
…11101110000011
3112022202022120022
430100003232003
5410104124011
632221204055
75044012463
oct1420035603
9468668508
10205536131
11a6024379
1258a0062b
1333775118
141d423ba3
151309e8db
hexc403b83

205536131 has 2 divisors, whose sum is σ = 205536132. Its totient is φ = 205536130.

The previous prime is 205536083. The next prime is 205536151. The reversal of 205536131 is 131635502.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205536131 is a prime.

It is a super-2 number, since 2×2055361312 = 84490202292898322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 205536131.

It is not a weakly prime, because it can be changed into another prime (205536151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102768065 + 102768066.

It is an arithmetic number, because the mean of its divisors is an integer number (102768066).

Almost surely, 2205536131 is an apocalyptic number.

205536131 is a deficient number, since it is larger than the sum of its proper divisors (1).

205536131 is an equidigital number, since it uses as much as digits as its factorization.

205536131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 205536131 is about 14336.5313447849. The cubic root of 205536131 is about 590.1504270272.

The spelling of 205536131 in words is "two hundred five million, five hundred thirty-six thousand, one hundred thirty-one".