Search a number
-
+
103321314145237 is a prime number
BaseRepresentation
bin10111011111100001011110…
…001110100011001111010101
3111112211102101000211121002111
4113133201132032203033111
5102020304022410121422
61003425053443311021
730522501324442066
oct2737413616431725
9445742330747074
10103321314145237
112aa15361287a11
12b70844307b471
1345862094ca8b6
141b72ac789656d
15be29579c4a77
hex5df85e3a33d5

103321314145237 has 2 divisors, whose sum is σ = 103321314145238. Its totient is φ = 103321314145236.

The previous prime is 103321314145207. The next prime is 103321314145253. The reversal of 103321314145237 is 732541413123301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94922034926436 + 8399279218801 = 9742794^2 + 2898151^2 .

It is an emirp because it is prime and its reverse (732541413123301) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103321314145237 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103321314145237.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103321314145207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51660657072618 + 51660657072619.

It is an arithmetic number, because the mean of its divisors is an integer number (51660657072619).

Almost surely, 2103321314145237 is an apocalyptic number.

It is an amenable number.

103321314145237 is a deficient number, since it is larger than the sum of its proper divisors (1).

103321314145237 is an equidigital number, since it uses as much as digits as its factorization.

103321314145237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 181440, while the sum is 40.

Adding to 103321314145237 its reverse (732541413123301), we get a palindrome (835862727268538).

The spelling of 103321314145237 in words is "one hundred three trillion, three hundred twenty-one billion, three hundred fourteen million, one hundred forty-five thousand, two hundred thirty-seven".