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103357762241 is a prime number
BaseRepresentation
bin110000001000010011…
…0100100101011000001
3100212210011212100010012
41200100212210223001
53143134041342431
6115252031314305
710316205324536
oct1402046445301
9325704770105
10103357762241
113a919842618
121804637b995
1399923672c6
145006d94d8d
152a4ddec22b
hex18109a4ac1

103357762241 has 2 divisors, whose sum is σ = 103357762242. Its totient is φ = 103357762240.

The previous prime is 103357762133. The next prime is 103357762267. The reversal of 103357762241 is 142267753301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97419518641 + 5938243600 = 312121^2 + 77060^2 .

It is a cyclic number.

It is not a de Polignac number, because 103357762241 - 214 = 103357745857 is a prime.

It is not a weakly prime, because it can be changed into another prime (103357762441) 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, 51678881120 + 51678881121.

It is an arithmetic number, because the mean of its divisors is an integer number (51678881121).

Almost surely, 2103357762241 is an apocalyptic number.

It is an amenable number.

103357762241 is a deficient number, since it is larger than the sum of its proper divisors (1).

103357762241 is an equidigital number, since it uses as much as digits as its factorization.

103357762241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 103357762241 in words is "one hundred three billion, three hundred fifty-seven million, seven hundred sixty-two thousand, two hundred forty-one".