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103144124129 is a prime number
BaseRepresentation
bin110000000001111011…
…1100110111011100001
3100212020021212101201112
41200003313212323201
53142214343433004
6115214520313105
710311002406104
oct1400367467341
9325207771645
10103144124129
113a81a1950a2
1217ba6912795
13995a016517
144dc686273b
152a3a29be6e
hex1803de6ee1

103144124129 has 2 divisors, whose sum is σ = 103144124130. Its totient is φ = 103144124128.

The previous prime is 103144124119. The next prime is 103144124177. The reversal of 103144124129 is 921421441301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52602339904 + 50541784225 = 229352^2 + 224815^2 .

It is a cyclic number.

It is not a de Polignac number, because 103144124129 - 224 = 103127346913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103144124095 and 103144124104.

It is not a weakly prime, because it can be changed into another prime (103144124119) 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, 51572062064 + 51572062065.

It is an arithmetic number, because the mean of its divisors is an integer number (51572062065).

Almost surely, 2103144124129 is an apocalyptic number.

It is an amenable number.

103144124129 is a deficient number, since it is larger than the sum of its proper divisors (1).

103144124129 is an equidigital number, since it uses as much as digits as its factorization.

103144124129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 103144124129 in words is "one hundred three billion, one hundred forty-four million, one hundred twenty-four thousand, one hundred twenty-nine".