Search a number
-
+
10131141133 is a prime number
BaseRepresentation
bin10010110111101110…
…01111001000001101
3222011001112021221101
421123313033020031
5131222033004013
64353145303101
7506026164421
oct113367171015
928131467841
1010131141133
114329846313
121b68a94a91
13c55c15489
146c173cb81
153e46648dd
hex25bdcf20d

10131141133 has 2 divisors, whose sum is σ = 10131141134. Its totient is φ = 10131141132.

The previous prime is 10131141121. The next prime is 10131141169. The reversal of 10131141133 is 33114113101.

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., 10075742884 + 55398249 = 100378^2 + 7443^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10131141133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10131141133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10131141833) 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, 5065570566 + 5065570567.

It is an arithmetic number, because the mean of its divisors is an integer number (5065570567).

Almost surely, 210131141133 is an apocalyptic number.

It is an amenable number.

10131141133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131141133 is an equidigital number, since it uses as much as digits as its factorization.

10131141133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10131141133 its reverse (33114113101), we get a palindrome (43245254234).

The spelling of 10131141133 in words is "ten billion, one hundred thirty-one million, one hundred forty-one thousand, one hundred thirty-three".