Search a number
-
+
113132201317 is a prime number
BaseRepresentation
bin110100101011100110…
…1000110010101100101
3101211000101012021211021
41221113031012111211
53323143320420232
6123545555411141
711113343562502
oct1512715062545
9354011167737
10113132201317
1143a851a6343
1219b138b3ab1
13a88c3bab75
1456931a04a9
152e220a2397
hex1a57346565

113132201317 has 2 divisors, whose sum is σ = 113132201318. Its totient is φ = 113132201316.

The previous prime is 113132201291. The next prime is 113132201327. The reversal of 113132201317 is 713102231311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113131995201 + 206116 = 336351^2 + 454^2 .

It is an emirp because it is prime and its reverse (713102231311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113132201317 - 223 = 113123812709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113132201291 and 113132201300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113132201327) 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, 56566100658 + 56566100659.

It is an arithmetic number, because the mean of its divisors is an integer number (56566100659).

Almost surely, 2113132201317 is an apocalyptic number.

It is an amenable number.

113132201317 is a deficient number, since it is larger than the sum of its proper divisors (1).

113132201317 is an equidigital number, since it uses as much as digits as its factorization.

113132201317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 113132201317 its reverse (713102231311), we get a palindrome (826234432628).

The spelling of 113132201317 in words is "one hundred thirteen billion, one hundred thirty-two million, two hundred one thousand, three hundred seventeen".