Search a number
-
+
1041413323201 is a prime number
BaseRepresentation
bin11110010011110010001…
…00100011100111000001
310200120001212220012221021
433021321010203213001
5114030303302320301
62114230233425441
7135145123122436
oct17117104434701
93616055805837
101041413323201
1137172a742639
121499bb26b281
13772880b2c04
14385945d3b8d
151c1523758a1
hexf2791239c1

1041413323201 has 2 divisors, whose sum is σ = 1041413323202. Its totient is φ = 1041413323200.

The previous prime is 1041413323193. The next prime is 1041413323231. The reversal of 1041413323201 is 1023233141401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 835003026225 + 206410296976 = 913785^2 + 454324^2 .

It is a cyclic number.

It is not a de Polignac number, because 1041413323201 - 23 = 1041413323193 is a prime.

It is not a weakly prime, because it can be changed into another prime (1041413323231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 520706661600 + 520706661601.

It is an arithmetic number, because the mean of its divisors is an integer number (520706661601).

Almost surely, 21041413323201 is an apocalyptic number.

It is an amenable number.

1041413323201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1041413323201 is an equidigital number, since it uses as much as digits as its factorization.

1041413323201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1041413323201 its reverse (1023233141401), we get a palindrome (2064646464602).

The spelling of 1041413323201 in words is "one trillion, forty-one billion, four hundred thirteen million, three hundred twenty-three thousand, two hundred one".