Search a number
-
+
10311201253 is a prime number
BaseRepresentation
bin10011001101001100…
…00111000111100101
3222121121100021222201
421212212013013211
5132104131420003
64423100454501
7513343523143
oct114646070745
928547307881
1010311201253
11441144a131
121bb924a431
13c8430a822
146db610593
15405380b1d
hex2669871e5

10311201253 has 2 divisors, whose sum is σ = 10311201254. Its totient is φ = 10311201252.

The previous prime is 10311201217. The next prime is 10311201259. The reversal of 10311201253 is 35210211301.

10311201253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10253182564 + 58018689 = 101258^2 + 7617^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10311201253 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10311201253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10311201259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5155600626 + 5155600627.

It is an arithmetic number, because the mean of its divisors is an integer number (5155600627).

Almost surely, 210311201253 is an apocalyptic number.

It is an amenable number.

10311201253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10311201253 is an equidigital number, since it uses as much as digits as its factorization.

10311201253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 10311201253 its reverse (35210211301), we get a palindrome (45521412554).

The spelling of 10311201253 in words is "ten billion, three hundred eleven million, two hundred one thousand, two hundred fifty-three".