Search a number
-
+
10313203729 is a prime number
BaseRepresentation
bin10011001101011011…
…10000000000010001
3222121202010000212111
421212231300000101
5132110140004404
64423211425321
7513366533233
oct114655600021
928552100774
1010313203729
114412597674
121bb9a55241
13c8485c11a
146db9b2253
15405629104
hex266b70011

10313203729 has 2 divisors, whose sum is σ = 10313203730. Its totient is φ = 10313203728.

The previous prime is 10313203727. The next prime is 10313203751. The reversal of 10313203729 is 92730231301.

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., 10014605329 + 298598400 = 100073^2 + 17280^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313203729 - 21 = 10313203727 is a prime.

Together with 10313203727, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10313203729.

It is not a weakly prime, because it can be changed into another prime (10313203727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156601864 + 5156601865.

It is an arithmetic number, because the mean of its divisors is an integer number (5156601865).

Almost surely, 210313203729 is an apocalyptic number.

It is an amenable number.

10313203729 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313203729 is an equidigital number, since it uses as much as digits as its factorization.

10313203729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6804, while the sum is 31.

The spelling of 10313203729 in words is "ten billion, three hundred thirteen million, two hundred three thousand, seven hundred twenty-nine".