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205114014257 is a prime number
BaseRepresentation
bin1011111100000110111…
…1110111101000110001
3201121102202012112012212
42333001233313220301
511330033141424012
6234121133101505
720550626232365
oct2770157675061
9647382175185
10205114014257
1179a96571869
1233904327895
131645a98a309
149cdb3812a5
1555073ecb22
hex2fc1bf7a31

205114014257 has 2 divisors, whose sum is σ = 205114014258. Its totient is φ = 205114014256.

The previous prime is 205114014221. The next prime is 205114014269. The reversal of 205114014257 is 752410411502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 194413973776 + 10700040481 = 440924^2 + 103441^2 .

It is a cyclic number.

It is not a de Polignac number, because 205114014257 - 218 = 205113752113 is a prime.

It is not a weakly prime, because it can be changed into another prime (205114214257) 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 as a sum of consecutive naturals, namely, 102557007128 + 102557007129.

It is an arithmetic number, because the mean of its divisors is an integer number (102557007129).

Almost surely, 2205114014257 is an apocalyptic number.

It is an amenable number.

205114014257 is a deficient number, since it is larger than the sum of its proper divisors (1).

205114014257 is an equidigital number, since it uses as much as digits as its factorization.

205114014257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 32.

Adding to 205114014257 its reverse (752410411502), we get a palindrome (957524425759).

The spelling of 205114014257 in words is "two hundred five billion, one hundred fourteen million, fourteen thousand, two hundred fifty-seven".