Search a number
-
+
205823178019357 is a prime number
BaseRepresentation
bin101110110011000111110001…
…011010011001001000011101
3222222202111121011102022012121
4232303013301122121020131
5203434201332033104412
62005425510155502541
761232143136640313
oct5663076132311035
9888674534368177
10205823178019357
115a6441352135a8
121b101ab1a57a51
138ab007221b162
1438b7c75b200b3
1518bddee829107
hexbb31f169921d

205823178019357 has 2 divisors, whose sum is σ = 205823178019358. Its totient is φ = 205823178019356.

The previous prime is 205823178019343. The next prime is 205823178019369. The reversal of 205823178019357 is 753910871328502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122277838000761 + 83545340018596 = 11057931^2 + 9140314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-205823178019357 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 205823178019295 and 205823178019304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (205823178059357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102911589009678 + 102911589009679.

It is an arithmetic number, because the mean of its divisors is an integer number (102911589009679).

Almost surely, 2205823178019357 is an apocalyptic number.

It is an amenable number.

205823178019357 is a deficient number, since it is larger than the sum of its proper divisors (1).

205823178019357 is an equidigital number, since it uses as much as digits as its factorization.

205823178019357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25401600, while the sum is 61.

The spelling of 205823178019357 in words is "two hundred five trillion, eight hundred twenty-three billion, one hundred seventy-eight million, nineteen thousand, three hundred fifty-seven".