Search a number
-
+
21223103010233 is a prime number
BaseRepresentation
bin1001101001101011000111…
…00001000001010110111001
32210010220112112120010200212
410310311203201001112321
510240204403332311413
6113045431532240505
74320214164044615
oct464654341012671
983126475503625
1021223103010233
116842738400713
12246921a310135
13bac43a0b65a7
145352bcc0a345
1526c0dce2cca8
hex134d638415b9

21223103010233 has 2 divisors, whose sum is σ = 21223103010234. Its totient is φ = 21223103010232.

The previous prime is 21223103010199. The next prime is 21223103010257. The reversal of 21223103010233 is 33201030132212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20340127060009 + 882975950224 = 4510003^2 + 939668^2 .

It is a cyclic number.

It is not a de Polignac number, because 21223103010233 - 26 = 21223103010169 is a prime.

It is a super-2 number, since 2×212231030102332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21223103010199 and 21223103010208.

It is not a weakly prime, because it can be changed into another prime (21223103010293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10611551505116 + 10611551505117.

It is an arithmetic number, because the mean of its divisors is an integer number (10611551505117).

Almost surely, 221223103010233 is an apocalyptic number.

It is an amenable number.

21223103010233 is a deficient number, since it is larger than the sum of its proper divisors (1).

21223103010233 is an equidigital number, since it uses as much as digits as its factorization.

21223103010233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21223103010233 its reverse (33201030132212), we get a palindrome (54424133142445).

The spelling of 21223103010233 in words is "twenty-one trillion, two hundred twenty-three billion, one hundred three million, ten thousand, two hundred thirty-three".