Search a number
-
+
12233212213213 is a prime number
BaseRepresentation
bin1011001000000100010001…
…0001001011011111011101
31121022111001121000000210201
42302001010101023133131
53100412104311310323
642003505441103501
72401551255063325
oct262010421133735
947274047000721
1012233212213213
1139970924143a2
121456a66027b91
136a978272a714
1430413a992285
15163331ed08ad
hexb204444b7dd

12233212213213 has 2 divisors, whose sum is σ = 12233212213214. Its totient is φ = 12233212213212.

The previous prime is 12233212213133. The next prime is 12233212213241. The reversal of 12233212213213 is 31231221233221.

It is an a-pointer prime, because the next prime (12233212213241) can be obtained adding 12233212213213 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11920018641444 + 313193571769 = 3452538^2 + 559637^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12233212213213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12233212213813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6116606106606 + 6116606106607.

It is an arithmetic number, because the mean of its divisors is an integer number (6116606106607).

Almost surely, 212233212213213 is an apocalyptic number.

It is an amenable number.

12233212213213 is a deficient number, since it is larger than the sum of its proper divisors (1).

12233212213213 is an equidigital number, since it uses as much as digits as its factorization.

12233212213213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5184, while the sum is 28.

Adding to 12233212213213 its reverse (31231221233221), we get a palindrome (43464433446434).

The spelling of 12233212213213 in words is "twelve trillion, two hundred thirty-three billion, two hundred twelve million, two hundred thirteen thousand, two hundred thirteen".