Search a number
-
+
313344230033 is a prime number
BaseRepresentation
bin1001000111101001100…
…01011000001010010001
31002221210111110011001002
410203310301120022101
520113212110330113
6355540502151345
731431651003152
oct4436461301221
91087714404032
10313344230033
1111098571588a
125088a422555
1323718616403
14112474b5929
15823de59c58
hex48f4c58291

313344230033 has 2 divisors, whose sum is σ = 313344230034. Its totient is φ = 313344230032.

The previous prime is 313344230029. The next prime is 313344230041. The reversal of 313344230033 is 330032443313.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 279823014289 + 33521215744 = 528983^2 + 183088^2 .

It is a cyclic number.

It is not a de Polignac number, because 313344230033 - 22 = 313344230029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313344229978 and 313344230005.

It is not a weakly prime, because it can be changed into another prime (313344230083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156672115016 + 156672115017.

It is an arithmetic number, because the mean of its divisors is an integer number (156672115017).

Almost surely, 2313344230033 is an apocalyptic number.

It is an amenable number.

313344230033 is a deficient number, since it is larger than the sum of its proper divisors (1).

313344230033 is an equidigital number, since it uses as much as digits as its factorization.

313344230033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 29.

Adding to 313344230033 its reverse (330032443313), we get a palindrome (643376673346).

The spelling of 313344230033 in words is "three hundred thirteen billion, three hundred forty-four million, two hundred thirty thousand, thirty-three".