Search a number
-
+
106352601301 is a prime number
BaseRepresentation
bin110001100001100011…
…0111110100011010101
3101011111220011220222101
41203003012332203111
53220302231220201
6120505133202101
710453342124002
oct1430306764325
9334456156871
10106352601301
11411162a8521
1218741330331
13a04b96271b
14520ca168a9
152b76cc1d01
hex18c31be8d5

106352601301 has 2 divisors, whose sum is σ = 106352601302. Its totient is φ = 106352601300.

The previous prime is 106352601247. The next prime is 106352601401. The reversal of 106352601301 is 103106253601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94957038801 + 11395562500 = 308151^2 + 106750^2 .

It is a cyclic number.

It is not a de Polignac number, because 106352601301 - 29 = 106352600789 is a prime.

It is a super-2 number, since 2×1063526013012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106352601301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106352601401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53176300650 + 53176300651.

It is an arithmetic number, because the mean of its divisors is an integer number (53176300651).

Almost surely, 2106352601301 is an apocalyptic number.

It is an amenable number.

106352601301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106352601301 is an equidigital number, since it uses as much as digits as its factorization.

106352601301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

Adding to 106352601301 its reverse (103106253601), we get a palindrome (209458854902).

The spelling of 106352601301 in words is "one hundred six billion, three hundred fifty-two million, six hundred one thousand, three hundred one".