Search a number
-
+
103313023313 is a prime number
BaseRepresentation
bin110000000110111101…
…1111010000101010001
3100212200001200100211212
41200031323322011101
53143041113221223
6115243352345505
710315123131413
oct1401573720521
9325601610755
10103313023313
113a8a65655a5
12180333a5295
139986001776
14500106a9b3
152a4a011278
hex180defa151

103313023313 has 2 divisors, whose sum is σ = 103313023314. Its totient is φ = 103313023312.

The previous prime is 103313023277. The next prime is 103313023349. The reversal of 103313023313 is 313320313301.

It is a balanced prime because it is at equal distance from previous prime (103313023277) and next prime (103313023349).

It can be written as a sum of positive squares in only one way, i.e., 102315537424 + 997485889 = 319868^2 + 31583^2 .

It is a cyclic number.

It is not a de Polignac number, because 103313023313 - 216 = 103312957777 is a prime.

It is not a weakly prime, because it can be changed into another prime (103313623313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656511656 + 51656511657.

It is an arithmetic number, because the mean of its divisors is an integer number (51656511657).

Almost surely, 2103313023313 is an apocalyptic number.

It is an amenable number.

103313023313 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313023313 is an equidigital number, since it uses as much as digits as its factorization.

103313023313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 103313023313 its reverse (313320313301), we get a palindrome (416633336614).

The spelling of 103313023313 in words is "one hundred three billion, three hundred thirteen million, twenty-three thousand, three hundred thirteen".