Search a number
-
+
113300223122101 is a prime number
BaseRepresentation
bin11001110000101111000011…
…100011010101101010110101
3112212011101200100120212021211
4121300233003203111222311
5104322302324104401401
61040545223130441421
732602446102305131
oct3160570343255265
9485141610525254
10113300223122101
113311239a2490a4
121085a413593271
134b2b21bc21772
141dd9a8d85a3c1
15d172eaeda951
hex670bc38d5ab5

113300223122101 has 2 divisors, whose sum is σ = 113300223122102. Its totient is φ = 113300223122100.

The previous prime is 113300223122041. The next prime is 113300223122123. The reversal of 113300223122101 is 101221322003311.

It is an a-pointer prime, because the next prime (113300223122123) can be obtained adding 113300223122101 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78510693111876 + 34789530010225 = 8860626^2 + 5898265^2 .

It is an emirp because it is prime and its reverse (101221322003311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113300223122101 - 219 = 113300222597813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113300223182101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56650111561050 + 56650111561051.

It is an arithmetic number, because the mean of its divisors is an integer number (56650111561051).

Almost surely, 2113300223122101 is an apocalyptic number.

It is an amenable number.

113300223122101 is a deficient number, since it is larger than the sum of its proper divisors (1).

113300223122101 is an equidigital number, since it uses as much as digits as its factorization.

113300223122101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 113300223122101 its reverse (101221322003311), we get a palindrome (214521545125412).

The spelling of 113300223122101 in words is "one hundred thirteen trillion, three hundred billion, two hundred twenty-three million, one hundred twenty-two thousand, one hundred one".