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103133133041 is a prime number
BaseRepresentation
bin110000000001100110…
…1101011100011110001
3100212012112011222210012
41200003031223203301
53142204040224131
6115213444544305
710310510111111
oct1400315534361
9325175158705
10103133133041
113a813a68354
1217ba30b2095
139957968813
144dc5201041
152a3932a52b
hex180336b8f1

103133133041 has 2 divisors, whose sum is σ = 103133133042. Its totient is φ = 103133133040.

The previous prime is 103133133023. The next prime is 103133133053. The reversal of 103133133041 is 140331331301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82932480400 + 20200652641 = 287980^2 + 142129^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103133133041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103133132998 and 103133133016.

It is not a weakly prime, because it can be changed into another prime (103133133071) 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, 51566566520 + 51566566521.

It is an arithmetic number, because the mean of its divisors is an integer number (51566566521).

Almost surely, 2103133133041 is an apocalyptic number.

It is an amenable number.

103133133041 is a deficient number, since it is larger than the sum of its proper divisors (1).

103133133041 is an equidigital number, since it uses as much as digits as its factorization.

103133133041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 103133133041 its reverse (140331331301), we get a palindrome (243464464342).

The spelling of 103133133041 in words is "one hundred three billion, one hundred thirty-three million, one hundred thirty-three thousand, forty-one".