Search a number
-
+
103313010037 is a prime number
BaseRepresentation
bin110000000110111101…
…1110110110101110101
3100212200001122200122011
41200031323312311311
53143041112310122
6115243352204221
710315123044616
oct1401573666565
9325601580564
10103313010037
113a8a6556626
1218033399671
139985cc8703
145001065c0d
152a4a00c377
hex180def6d75

103313010037 has 2 divisors, whose sum is σ = 103313010038. Its totient is φ = 103313010036.

The previous prime is 103313010001. The next prime is 103313010041. The reversal of 103313010037 is 730010313301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69029154756 + 34283855281 = 262734^2 + 185159^2 .

It is an emirp because it is prime and its reverse (730010313301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103313010037 - 211 = 103313007989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103313010067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656505018 + 51656505019.

It is an arithmetic number, because the mean of its divisors is an integer number (51656505019).

Almost surely, 2103313010037 is an apocalyptic number.

It is an amenable number.

103313010037 is a deficient number, since it is larger than the sum of its proper divisors (1).

103313010037 is an equidigital number, since it uses as much as digits as its factorization.

103313010037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 103313010037 its reverse (730010313301), we get a palindrome (833323323338).

The spelling of 103313010037 in words is "one hundred three billion, three hundred thirteen million, ten thousand, thirty-seven".