Search a number
-
+
113110133312321 is a prime number
BaseRepresentation
bin11001101101111110000001…
…010100010000101101000001
3112211111020000200002000001122
4121231332001110100231001
5104311144023111443241
61040322024454242025
732552636355502025
oct3155760124205501
9484436020060048
10113110133312321
1133049813530552
1210829602956315
134b16316b06592
141dd07b9a00385
15d123c2ad404b
hex66df81510b41

113110133312321 has 2 divisors, whose sum is σ = 113110133312322. Its totient is φ = 113110133312320.

The previous prime is 113110133312299. The next prime is 113110133312329. The reversal of 113110133312321 is 123213331011311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105157231344400 + 7952901967921 = 10254620^2 + 2820089^2 .

It is an emirp because it is prime and its reverse (123213331011311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113110133312321 - 210 = 113110133311297 is a prime.

It is not a weakly prime, because it can be changed into another prime (113110133312329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56555066656160 + 56555066656161.

It is an arithmetic number, because the mean of its divisors is an integer number (56555066656161).

Almost surely, 2113110133312321 is an apocalyptic number.

It is an amenable number.

113110133312321 is a deficient number, since it is larger than the sum of its proper divisors (1).

113110133312321 is an equidigital number, since it uses as much as digits as its factorization.

113110133312321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 113110133312321 its reverse (123213331011311), we get a palindrome (236323464323632).

The spelling of 113110133312321 in words is "one hundred thirteen trillion, one hundred ten billion, one hundred thirty-three million, three hundred twelve thousand, three hundred twenty-one".