Search a number
-
+
205237329461 is a prime number
BaseRepresentation
bin1011111100100100011…
…0010001111000110101
3201121202100020120212122
42333021012101320311
511330311224020321
6234141300125325
720553654342053
oct2771106217065
9647670216778
10205237329461
117a04a13835a
1233939696845
131647a3a51a8
149d0d8c11d3
15551315a8ab
hex2fc9191e35

205237329461 has 2 divisors, whose sum is σ = 205237329462. Its totient is φ = 205237329460.

The previous prime is 205237329419. The next prime is 205237329463. The reversal of 205237329461 is 164923732502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138686228836 + 66551100625 = 372406^2 + 257975^2 .

It is a cyclic number.

It is not a de Polignac number, because 205237329461 - 234 = 188057460277 is a prime.

It is a super-2 number, since 2×2052373294612 (a number of 23 digits) contains 22 as substring.

Together with 205237329463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205237329463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102618664730 + 102618664731.

It is an arithmetic number, because the mean of its divisors is an integer number (102618664731).

Almost surely, 2205237329461 is an apocalyptic number.

It is an amenable number.

205237329461 is a deficient number, since it is larger than the sum of its proper divisors (1).

205237329461 is an equidigital number, since it uses as much as digits as its factorization.

205237329461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 205237329461 in words is "two hundred five billion, two hundred thirty-seven million, three hundred twenty-nine thousand, four hundred sixty-one".