Search a number
-
+
113022233021 is a prime number
BaseRepresentation
bin110100101000010100…
…1100110100110111101
3101210201201021022200102
41221100221212212331
53322432142424041
6123531030410445
711110540062305
oct1512051464675
9353651238612
10113022233021
1143a29116555
1219aa2b00a25
13a872697079
145682736605
152e175ce09b
hex1a50a669bd

113022233021 has 2 divisors, whose sum is σ = 113022233022. Its totient is φ = 113022233020.

The previous prime is 113022233003. The next prime is 113022233041. The reversal of 113022233021 is 120332220311.

It is an a-pointer prime, because the next prime (113022233041) can be obtained adding 113022233021 to its sum of digits (20).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99382562500 + 13639670521 = 315250^2 + 116789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113022233021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113022232984 and 113022233002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113022233041) 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, 56511116510 + 56511116511.

It is an arithmetic number, because the mean of its divisors is an integer number (56511116511).

Almost surely, 2113022233021 is an apocalyptic number.

It is an amenable number.

113022233021 is a deficient number, since it is larger than the sum of its proper divisors (1).

113022233021 is an equidigital number, since it uses as much as digits as its factorization.

113022233021 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 20.

Adding to 113022233021 its reverse (120332220311), we get a palindrome (233354453332).

The spelling of 113022233021 in words is "one hundred thirteen billion, twenty-two million, two hundred thirty-three thousand, twenty-one".