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205273712431 is a prime number
BaseRepresentation
bin1011111100101101000…
…1000100011100101111
3201121211212201000221001
42333023101010130233
511330400032244211
6234145040021131
720554605523624
oct2771321043457
9647755630831
10205273712431
117a068728427
12339499017a7
1316484aa3588
149d1467234b
155516445ac1
hex2fcb44472f

205273712431 has 2 divisors, whose sum is σ = 205273712432. Its totient is φ = 205273712430.

The previous prime is 205273712387. The next prime is 205273712453. The reversal of 205273712431 is 134217372502.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 205273712431 - 29 = 205273711919 is a prime.

It is a super-2 number, since 2×2052737124312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205273712461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102636856215 + 102636856216.

It is an arithmetic number, because the mean of its divisors is an integer number (102636856216).

Almost surely, 2205273712431 is an apocalyptic number.

205273712431 is a deficient number, since it is larger than the sum of its proper divisors (1).

205273712431 is an equidigital number, since it uses as much as digits as its factorization.

205273712431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 205273712431 in words is "two hundred five billion, two hundred seventy-three million, seven hundred twelve thousand, four hundred thirty-one".