Search a number
-
+
12223103101031 is a prime number
BaseRepresentation
bin1011000111011110100110…
…1101111110100001100111
31121021111222001220220220102
42301313221231332201213
53100230403343213111
641555114355454315
72401042614045134
oct261675155764147
947244861826812
1012223103101031
113992875054829
121454b045b739b
136a8831259034
1430385c14958b
15162e3e76d13b
hexb1de9b7e867

12223103101031 has 2 divisors, whose sum is σ = 12223103101032. Its totient is φ = 12223103101030.

The previous prime is 12223103100997. The next prime is 12223103101037. The reversal of 12223103101031 is 13010130132221.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (13010130132221) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12223103101031 is a prime.

It is a super-2 number, since 2×122231031010312 (a number of 27 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 12223103100994 and 12223103101012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12223103101037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6111551550515 + 6111551550516.

It is an arithmetic number, because the mean of its divisors is an integer number (6111551550516).

Almost surely, 212223103101031 is an apocalyptic number.

12223103101031 is a deficient number, since it is larger than the sum of its proper divisors (1).

12223103101031 is an equidigital number, since it uses as much as digits as its factorization.

12223103101031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12223103101031 its reverse (13010130132221), we get a palindrome (25233233233252).

The spelling of 12223103101031 in words is "twelve trillion, two hundred twenty-three billion, one hundred three million, one hundred one thousand, thirty-one".