Search a number
-
+
10332200223313 is a prime number
BaseRepresentation
bin1001011001011010011100…
…0111111100001001010001
31100120202012210120002220221
42112112213013330021101
52323240321224121223
633550314112433041
72114322360555013
oct226264707741121
940522183502827
1010332200223313
113323952736721
1211aa548b48781
1359c42612b3b7
1427a11c9b41b3
1512db6e48db5d
hex965a71fc251

10332200223313 has 2 divisors, whose sum is σ = 10332200223314. Its totient is φ = 10332200223312.

The previous prime is 10332200223299. The next prime is 10332200223337. The reversal of 10332200223313 is 31332200223301.

10332200223313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10223769636369 + 108430586944 = 3197463^2 + 329288^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332200223313 - 221 = 10332198126161 is a prime.

It is a super-2 number, since 2×103322002233132 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10332200223613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166100111656 + 5166100111657.

It is an arithmetic number, because the mean of its divisors is an integer number (5166100111657).

Almost surely, 210332200223313 is an apocalyptic number.

It is an amenable number.

10332200223313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332200223313 is an equidigital number, since it uses as much as digits as its factorization.

10332200223313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 10332200223313 its reverse (31332200223301), we get a palindrome (41664400446614).

The spelling of 10332200223313 in words is "ten trillion, three hundred thirty-two billion, two hundred million, two hundred twenty-three thousand, three hundred thirteen".