Search a number
-
+
265766222201 is a prime number
BaseRepresentation
bin1111011110000011100…
…1101011100101111001
3221101222201000221001212
43313200321223211321
513323242123102301
6322031420252505
725125635421104
oct3674071534571
9841881027055
10265766222201
11a2790116357
12436106a1135
131c0a559245c
14cc126cb73b
156da70324bb
hex3de0e6b979

265766222201 has 2 divisors, whose sum is σ = 265766222202. Its totient is φ = 265766222200.

The previous prime is 265766222177. The next prime is 265766222203. The reversal of 265766222201 is 102222667562.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 251401960000 + 14364262201 = 501400^2 + 119851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-265766222201 is a prime.

Together with 265766222203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (265766222203) 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, 132883111100 + 132883111101.

It is an arithmetic number, because the mean of its divisors is an integer number (132883111101).

Almost surely, 2265766222201 is an apocalyptic number.

It is an amenable number.

265766222201 is a deficient number, since it is larger than the sum of its proper divisors (1).

265766222201 is an equidigital number, since it uses as much as digits as its factorization.

265766222201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 41.

Adding to 265766222201 its reverse (102222667562), we get a palindrome (367988889763).

The spelling of 265766222201 in words is "two hundred sixty-five billion, seven hundred sixty-six million, two hundred twenty-two thousand, two hundred one".