Search a number
-
+
201344410225393 is a prime number
BaseRepresentation
bin101101110001111100100110…
…000011001000101011110001
3222101220100010010122201012021
4231301330212003020223301
5202342311323004203033
61552120202314231441
760260440116554041
oct5561744603105361
9871810103581167
10201344410225393
1159177759597156
121a6b9a8b725581
13884690903bba6
1437a119b397721
15184266bc54b2d
hexb71f260c8af1

201344410225393 has 2 divisors, whose sum is σ = 201344410225394. Its totient is φ = 201344410225392.

The previous prime is 201344410225369. The next prime is 201344410225471. The reversal of 201344410225393 is 393522014443102.

201344410225393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 183309720012864 + 18034690212529 = 13539192^2 + 4246727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-201344410225393 is a prime.

It is a super-2 number, since 2×2013444102253932 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (201344410225313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100672205112696 + 100672205112697.

It is an arithmetic number, because the mean of its divisors is an integer number (100672205112697).

Almost surely, 2201344410225393 is an apocalyptic number.

It is an amenable number.

201344410225393 is a deficient number, since it is larger than the sum of its proper divisors (1).

201344410225393 is an equidigital number, since it uses as much as digits as its factorization.

201344410225393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 622080, while the sum is 43.

Adding to 201344410225393 its reverse (393522014443102), we get a palindrome (594866424668495).

The spelling of 201344410225393 in words is "two hundred one trillion, three hundred forty-four billion, four hundred ten million, two hundred twenty-five thousand, three hundred ninety-three".