Search a number
-
+
103075252729 is a prime number
BaseRepresentation
bin101111111111111000…
…0111000100111111001
3100212001111021100220221
41133333300320213321
53142044231041404
6115204020220041
710306205122621
oct1377760704771
9325044240827
10103075252729
113a794324a89
1217b8783a621
139948981607
144dbb655881
152a341e5954
hex17ffc389f9

103075252729 has 2 divisors, whose sum is σ = 103075252730. Its totient is φ = 103075252728.

The previous prime is 103075252697. The next prime is 103075252799. The reversal of 103075252729 is 927252570301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90449359504 + 12625893225 = 300748^2 + 112365^2 .

It is an emirp because it is prime and its reverse (927252570301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103075252729 - 25 = 103075252697 is a prime.

It is not a weakly prime, because it can be changed into another prime (103075252799) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51537626364 + 51537626365.

It is an arithmetic number, because the mean of its divisors is an integer number (51537626365).

Almost surely, 2103075252729 is an apocalyptic number.

It is an amenable number.

103075252729 is a deficient number, since it is larger than the sum of its proper divisors (1).

103075252729 is an equidigital number, since it uses as much as digits as its factorization.

103075252729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 264600, while the sum is 43.

The spelling of 103075252729 in words is "one hundred three billion, seventy-five million, two hundred fifty-two thousand, seven hundred twenty-nine".