Search a number
-
+
201001312322329 is a prime number
BaseRepresentation
bin101101101100111101000011…
…110100100000001100011001
3222100200112112001102100212011
4231230331003310200030121
5202321201141423303304
61551254421135345521
760223602616525261
oct5554750364401431
9870615461370764
10201001312322329
11590551a5792452
121a6634989822a1
13882045b3b82bc
14378c7304787a1
15183878ab2bc04
hexb6cf43d20319

201001312322329 has 2 divisors, whose sum is σ = 201001312322330. Its totient is φ = 201001312322328.

The previous prime is 201001312322287. The next prime is 201001312322381. The reversal of 201001312322329 is 923223213100102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 192947323740304 + 8053988582025 = 13890548^2 + 2837955^2 .

It is a cyclic number.

It is not a de Polignac number, because 201001312322329 - 27 = 201001312322201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201001312322329.

It is not a weakly prime, because it can be changed into another prime (201001312320329) 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, 100500656161164 + 100500656161165.

It is an arithmetic number, because the mean of its divisors is an integer number (100500656161165).

Almost surely, 2201001312322329 is an apocalyptic number.

It is an amenable number.

201001312322329 is a deficient number, since it is larger than the sum of its proper divisors (1).

201001312322329 is an equidigital number, since it uses as much as digits as its factorization.

201001312322329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 201001312322329 in words is "two hundred one trillion, one billion, three hundred twelve million, three hundred twenty-two thousand, three hundred twenty-nine".